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Finding the Fourth Proportional to 77.98, 117.65 and 77.17

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Solution

The fourth proportional to 77.98, 117.65 and 77.17 is: 116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.98 : 117.65 = 77.17 : x
  2. Step 2: Convert to fraction form
    77.98/117.65 = 77.17/x
  3. Step 3: Cross multiply
    77.98x = 117.65 × 77.17
  4. Step 4: Simplify right side
    77.98x = 9,079.05
  5. Step 5: Solve for x
    x = 9,079.05/77.98
  6. Step 6: Final answer
    x = 116.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.