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Finding the Fourth Proportional to 94.56, 140.84 and 94.10

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Solution

The fourth proportional to 94.56, 140.84 and 94.10 is: 140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.56 : 140.84 = 94.10 : x
  2. Step 2: Convert to fraction form
    94.56/140.84 = 94.10/x
  3. Step 3: Cross multiply
    94.56x = 140.84 × 94.10
  4. Step 4: Simplify right side
    94.56x = 13,253.04
  5. Step 5: Solve for x
    x = 13,253.04/94.56
  6. Step 6: Final answer
    x = 140.15

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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.