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Finding the Fourth Proportional to 278.78, 417.56 and 156.87

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Solution

The fourth proportional to 278.78, 417.56 and 156.87 is: 234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.78 : 417.56 = 156.87 : x
  2. Step 2: Convert to fraction form
    278.78/417.56 = 156.87/x
  3. Step 3: Cross multiply
    278.78x = 417.56 × 156.87
  4. Step 4: Simplify right side
    278.78x = 65,501.85
  5. Step 5: Solve for x
    x = 65,501.85/278.78
  6. Step 6: Final answer
    x = 234.96

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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.