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Finding the Fourth Proportional to 352.91, 529.17 and 280.25

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Solution

The fourth proportional to 352.91, 529.17 and 280.25 is: 420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.91 : 529.17 = 280.25 : x
  2. Step 2: Convert to fraction form
    352.91/529.17 = 280.25/x
  3. Step 3: Cross multiply
    352.91x = 529.17 × 280.25
  4. Step 4: Simplify right side
    352.91x = 148,300.46
  5. Step 5: Solve for x
    x = 148,300.46/352.91
  6. Step 6: Final answer
    x = 420.23

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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.