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Finding the Fourth Proportional to 91.40, 136.91 and 65.66

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Solution

The fourth proportional to 91.40, 136.91 and 65.66 is: 98.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.40 : 136.91 = 65.66 : x
  2. Step 2: Convert to fraction form
    91.40/136.91 = 65.66/x
  3. Step 3: Cross multiply
    91.40x = 136.91 × 65.66
  4. Step 4: Simplify right side
    91.40x = 8,988.99
  5. Step 5: Solve for x
    x = 8,988.99/91.40
  6. Step 6: Final answer
    x = 98.35

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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.