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Finding the Fourth Proportional to 648.10, 972.20 and 231.66

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Solution

The fourth proportional to 648.10, 972.20 and 231.66 is: 347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.10 : 972.20 = 231.66 : x
  2. Step 2: Convert to fraction form
    648.10/972.20 = 231.66/x
  3. Step 3: Cross multiply
    648.10x = 972.20 × 231.66
  4. Step 4: Simplify right side
    648.10x = 225,220.43
  5. Step 5: Solve for x
    x = 225,220.43/648.10
  6. Step 6: Final answer
    x = 347.51

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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.