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Finding the Fourth Proportional to 278.73, 417.78 and 230.13

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Solution

The fourth proportional to 278.73, 417.78 and 230.13 is: 344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.73 : 417.78 = 230.13 : x
  2. Step 2: Convert to fraction form
    278.73/417.78 = 230.13/x
  3. Step 3: Cross multiply
    278.73x = 417.78 × 230.13
  4. Step 4: Simplify right side
    278.73x = 96,143.71
  5. Step 5: Solve for x
    x = 96,143.71/278.73
  6. Step 6: Final answer
    x = 344.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.