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Finding the Fourth Proportional to 278.49, 415.92 and 240.06

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Solution

The fourth proportional to 278.49, 415.92 and 240.06 is: 358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.49 : 415.92 = 240.06 : x
  2. Step 2: Convert to fraction form
    278.49/415.92 = 240.06/x
  3. Step 3: Cross multiply
    278.49x = 415.92 × 240.06
  4. Step 4: Simplify right side
    278.49x = 99,845.76
  5. Step 5: Solve for x
    x = 99,845.76/278.49
  6. Step 6: Final answer
    x = 358.53

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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.