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Finding the Fourth Proportional to 278.73, 385.07 and 237.71

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Solution

The fourth proportional to 278.73, 385.07 and 237.71 is: 328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.73 : 385.07 = 237.71 : x
  2. Step 2: Convert to fraction form
    278.73/385.07 = 237.71/x
  3. Step 3: Cross multiply
    278.73x = 385.07 × 237.71
  4. Step 4: Simplify right side
    278.73x = 91,531.88
  5. Step 5: Solve for x
    x = 91,531.88/278.73
  6. Step 6: Final answer
    x = 328.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.