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Finding the Fourth Proportional to 410.49, 565.79 and 279.27

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Solution

The fourth proportional to 410.49, 565.79 and 279.27 is: 384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.49 : 565.79 = 279.27 : x
  2. Step 2: Convert to fraction form
    410.49/565.79 = 279.27/x
  3. Step 3: Cross multiply
    410.49x = 565.79 × 279.27
  4. Step 4: Simplify right side
    410.49x = 158,006.78
  5. Step 5: Solve for x
    x = 158,006.78/410.49
  6. Step 6: Final answer
    x = 384.92

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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.