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Finding the Fourth Proportional to 279.97, 417.90 and 247.13

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Solution

The fourth proportional to 279.97, 417.90 and 247.13 is: 368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.97 : 417.90 = 247.13 : x
  2. Step 2: Convert to fraction form
    279.97/417.90 = 247.13/x
  3. Step 3: Cross multiply
    279.97x = 417.90 × 247.13
  4. Step 4: Simplify right side
    279.97x = 103,275.63
  5. Step 5: Solve for x
    x = 103,275.63/279.97
  6. Step 6: Final answer
    x = 368.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.