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Finding the Fourth Proportional to 588.31, 882.16 and 259.12

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Solution

The fourth proportional to 588.31, 882.16 and 259.12 is: 388.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.31 : 882.16 = 259.12 : x
  2. Step 2: Convert to fraction form
    588.31/882.16 = 259.12/x
  3. Step 3: Cross multiply
    588.31x = 882.16 × 259.12
  4. Step 4: Simplify right side
    588.31x = 228,585.30
  5. Step 5: Solve for x
    x = 228,585.30/588.31
  6. Step 6: Final answer
    x = 388.55

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.