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Finding the Fourth Proportional to 77.49, 116.15 and 34.13

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Solution

The fourth proportional to 77.49, 116.15 and 34.13 is: 51.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.49 : 116.15 = 34.13 : x
  2. Step 2: Convert to fraction form
    77.49/116.15 = 34.13/x
  3. Step 3: Cross multiply
    77.49x = 116.15 × 34.13
  4. Step 4: Simplify right side
    77.49x = 3,964.20
  5. Step 5: Solve for x
    x = 3,964.20/77.49
  6. Step 6: Final answer
    x = 51.16

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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.