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Finding the Fourth Proportional to 278.14, 417.10 and 83.08

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Solution

The fourth proportional to 278.14, 417.10 and 83.08 is: 124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.14 : 417.10 = 83.08 : x
  2. Step 2: Convert to fraction form
    278.14/417.10 = 83.08/x
  3. Step 3: Cross multiply
    278.14x = 417.10 × 83.08
  4. Step 4: Simplify right side
    278.14x = 34,652.67
  5. Step 5: Solve for x
    x = 34,652.67/278.14
  6. Step 6: Final answer
    x = 124.59

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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.