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Finding the Fourth Proportional to 588.64, 882.76 and 280.32

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Solution

The fourth proportional to 588.64, 882.76 and 280.32 is: 420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.64 : 882.76 = 280.32 : x
  2. Step 2: Convert to fraction form
    588.64/882.76 = 280.32/x
  3. Step 3: Cross multiply
    588.64x = 882.76 × 280.32
  4. Step 4: Simplify right side
    588.64x = 247,455.28
  5. Step 5: Solve for x
    x = 247,455.28/588.64
  6. Step 6: Final answer
    x = 420.38

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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.