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Finding the Fourth Proportional to 76.97, 106.15 and 65.36

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Solution

The fourth proportional to 76.97, 106.15 and 65.36 is: 90.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.97 : 106.15 = 65.36 : x
  2. Step 2: Convert to fraction form
    76.97/106.15 = 65.36/x
  3. Step 3: Cross multiply
    76.97x = 106.15 × 65.36
  4. Step 4: Simplify right side
    76.97x = 6,937.96
  5. Step 5: Solve for x
    x = 6,937.96/76.97
  6. Step 6: Final answer
    x = 90.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.