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Finding the Fourth Proportional to 534.64, 801.66 and 209.92

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Solution

The fourth proportional to 534.64, 801.66 and 209.92 is: 314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.64 : 801.66 = 209.92 : x
  2. Step 2: Convert to fraction form
    534.64/801.66 = 209.92/x
  3. Step 3: Cross multiply
    534.64x = 801.66 × 209.92
  4. Step 4: Simplify right side
    534.64x = 168,284.47
  5. Step 5: Solve for x
    x = 168,284.47/534.64
  6. Step 6: Final answer
    x = 314.76

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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.