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Finding the Fourth Proportional to 278.24, 415.14 and 237.20

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Solution

The fourth proportional to 278.24, 415.14 and 237.20 is: 353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.24 : 415.14 = 237.20 : x
  2. Step 2: Convert to fraction form
    278.24/415.14 = 237.20/x
  3. Step 3: Cross multiply
    278.24x = 415.14 × 237.20
  4. Step 4: Simplify right side
    278.24x = 98,471.21
  5. Step 5: Solve for x
    x = 98,471.21/278.24
  6. Step 6: Final answer
    x = 353.91

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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.