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Finding the Fourth Proportional to 278.70, 417.56 and 156.76

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Solution

The fourth proportional to 278.70, 417.56 and 156.76 is: 234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.70 : 417.56 = 156.76 : x
  2. Step 2: Convert to fraction form
    278.70/417.56 = 156.76/x
  3. Step 3: Cross multiply
    278.70x = 417.56 × 156.76
  4. Step 4: Simplify right side
    278.70x = 65,456.71
  5. Step 5: Solve for x
    x = 65,456.71/278.70
  6. Step 6: Final answer
    x = 234.86

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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.