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Finding the Fourth Proportional to 278.49, 415.29 and 240.24

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Solution

The fourth proportional to 278.49, 415.29 and 240.24 is: 358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.49 : 415.29 = 240.24 : x
  2. Step 2: Convert to fraction form
    278.49/415.29 = 240.24/x
  3. Step 3: Cross multiply
    278.49x = 415.29 × 240.24
  4. Step 4: Simplify right side
    278.49x = 99,769.27
  5. Step 5: Solve for x
    x = 99,769.27/278.49
  6. Step 6: Final answer
    x = 358.25

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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.