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Finding the Fourth Proportional to 278.50, 417.78 and 124.50

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Solution

The fourth proportional to 278.50, 417.78 and 124.50 is: 186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.50 : 417.78 = 124.50 : x
  2. Step 2: Convert to fraction form
    278.50/417.78 = 124.50/x
  3. Step 3: Cross multiply
    278.50x = 417.78 × 124.50
  4. Step 4: Simplify right side
    278.50x = 52,011.52
  5. Step 5: Solve for x
    x = 52,011.52/278.50
  6. Step 6: Final answer
    x = 186.76

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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.