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Finding the Fourth Proportional to 91.42, 127 and 90.58

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Solution

The fourth proportional to 91.42, 127 and 90.58 is: 125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.42 : 127 = 90.58 : x
  2. Step 2: Convert to fraction form
    91.42/127 = 90.58/x
  3. Step 3: Cross multiply
    91.42x = 127 × 90.58
  4. Step 4: Simplify right side
    91.42x = 11,503.66
  5. Step 5: Solve for x
    x = 11,503.66/91.42
  6. Step 6: Final answer
    x = 125.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.