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Finding the Fourth Proportional to 94.22, 130.64 and 90.80

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Solution

The fourth proportional to 94.22, 130.64 and 90.80 is: 125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.22 : 130.64 = 90.80 : x
  2. Step 2: Convert to fraction form
    94.22/130.64 = 90.80/x
  3. Step 3: Cross multiply
    94.22x = 130.64 × 90.80
  4. Step 4: Simplify right side
    94.22x = 11,862.11
  5. Step 5: Solve for x
    x = 11,862.11/94.22
  6. Step 6: Final answer
    x = 125.90

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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.