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Finding the Fourth Proportional to 278.40, 415.14 and 240.13

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Solution

The fourth proportional to 278.40, 415.14 and 240.13 is: 358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 415.14 = 240.13 : x
  2. Step 2: Convert to fraction form
    278.40/415.14 = 240.13/x
  3. Step 3: Cross multiply
    278.40x = 415.14 × 240.13
  4. Step 4: Simplify right side
    278.40x = 99,687.57
  5. Step 5: Solve for x
    x = 99,687.57/278.40
  6. Step 6: Final answer
    x = 358.07

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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.