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Finding the Fourth Proportional to 91, 126.40 and 89.60

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Solution

The fourth proportional to 91, 126.40 and 89.60 is: 124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    91 : 126.40 = 89.60 : x
  2. Step 2: Convert to fraction form
    91/126.40 = 89.60/x
  3. Step 3: Cross multiply
    91x = 126.40 × 89.60
  4. Step 4: Simplify right side
    91x = 11,325.44
  5. Step 5: Solve for x
    x = 11,325.44/91
  6. Step 6: Final answer
    x = 124.46

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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.