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Finding the Fourth Proportional to 67.11, 92.42 and 65.69

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Solution

The fourth proportional to 67.11, 92.42 and 65.69 is: 90.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.11 : 92.42 = 65.69 : x
  2. Step 2: Convert to fraction form
    67.11/92.42 = 65.69/x
  3. Step 3: Cross multiply
    67.11x = 92.42 × 65.69
  4. Step 4: Simplify right side
    67.11x = 6,070.87
  5. Step 5: Solve for x
    x = 6,070.87/67.11
  6. Step 6: Final answer
    x = 90.47

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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.