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Finding the Fourth Proportional to 534.24, 801.28 and 209.76

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Solution

The fourth proportional to 534.24, 801.28 and 209.76 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.24 : 801.28 = 209.76 : x
  2. Step 2: Convert to fraction form
    534.24/801.28 = 209.76/x
  3. Step 3: Cross multiply
    534.24x = 801.28 × 209.76
  4. Step 4: Simplify right side
    534.24x = 168,076.49
  5. Step 5: Solve for x
    x = 168,076.49/534.24
  6. Step 6: Final answer
    x = 314.61

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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.