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Finding the Fourth Proportional to 529.71, 730.98 and 296.88

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Solution

The fourth proportional to 529.71, 730.98 and 296.88 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.71 : 730.98 = 296.88 : x
  2. Step 2: Convert to fraction form
    529.71/730.98 = 296.88/x
  3. Step 3: Cross multiply
    529.71x = 730.98 × 296.88
  4. Step 4: Simplify right side
    529.71x = 217,013.34
  5. Step 5: Solve for x
    x = 217,013.34/529.71
  6. Step 6: Final answer
    x = 409.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.