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Finding the Fourth Proportional to 91.60, 136.78 and 90.58

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Solution

The fourth proportional to 91.60, 136.78 and 90.58 is: 135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.60 : 136.78 = 90.58 : x
  2. Step 2: Convert to fraction form
    91.60/136.78 = 90.58/x
  3. Step 3: Cross multiply
    91.60x = 136.78 × 90.58
  4. Step 4: Simplify right side
    91.60x = 12,389.53
  5. Step 5: Solve for x
    x = 12,389.53/91.60
  6. Step 6: Final answer
    x = 135.26

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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.