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Finding the Fourth Proportional to 91.67, 127.35 and 90.83

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Solution

The fourth proportional to 91.67, 127.35 and 90.83 is: 126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.67 : 127.35 = 90.83 : x
  2. Step 2: Convert to fraction form
    91.67/127.35 = 90.83/x
  3. Step 3: Cross multiply
    91.67x = 127.35 × 90.83
  4. Step 4: Simplify right side
    91.67x = 11,566.90
  5. Step 5: Solve for x
    x = 11,566.90/91.67
  6. Step 6: Final answer
    x = 126.18

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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.