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Finding the Fourth Proportional to 91.82, 136.85 and 91.07

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Solution

The fourth proportional to 91.82, 136.85 and 91.07 is: 135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.82 : 136.85 = 91.07 : x
  2. Step 2: Convert to fraction form
    91.82/136.85 = 91.07/x
  3. Step 3: Cross multiply
    91.82x = 136.85 × 91.07
  4. Step 4: Simplify right side
    91.82x = 12,461.79
  5. Step 5: Solve for x
    x = 12,461.79/91.82
  6. Step 6: Final answer
    x = 135.72

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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.