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Finding the Fourth Proportional to 94.40, 140.68 and 89.76

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Solution

The fourth proportional to 94.40, 140.68 and 89.76 is: 133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.40 : 140.68 = 89.76 : x
  2. Step 2: Convert to fraction form
    94.40/140.68 = 89.76/x
  3. Step 3: Cross multiply
    94.40x = 140.68 × 89.76
  4. Step 4: Simplify right side
    94.40x = 12,627.44
  5. Step 5: Solve for x
    x = 12,627.44/94.40
  6. Step 6: Final answer
    x = 133.77

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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.