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Finding the Fourth Proportional to 91.68, 136.36 and 91.36

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Solution

The fourth proportional to 91.68, 136.36 and 91.36 is: 135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.68 : 136.36 = 91.36 : x
  2. Step 2: Convert to fraction form
    91.68/136.36 = 91.36/x
  3. Step 3: Cross multiply
    91.68x = 136.36 × 91.36
  4. Step 4: Simplify right side
    91.68x = 12,457.85
  5. Step 5: Solve for x
    x = 12,457.85/91.68
  6. Step 6: Final answer
    x = 135.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.