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Finding the Fourth Proportional to 278.19, 417.25 and 72.76

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Solution

The fourth proportional to 278.19, 417.25 and 72.76 is: 109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.19 : 417.25 = 72.76 : x
  2. Step 2: Convert to fraction form
    278.19/417.25 = 72.76/x
  3. Step 3: Cross multiply
    278.19x = 417.25 × 72.76
  4. Step 4: Simplify right side
    278.19x = 30,358.75
  5. Step 5: Solve for x
    x = 30,358.75/278.19
  6. Step 6: Final answer
    x = 109.13

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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.