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Finding the Fourth Proportional to 97.41, 133.35 and 94.31

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Solution

The fourth proportional to 97.41, 133.35 and 94.31 is: 129.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.41 : 133.35 = 94.31 : x
  2. Step 2: Convert to fraction form
    97.41/133.35 = 94.31/x
  3. Step 3: Cross multiply
    97.41x = 133.35 × 94.31
  4. Step 4: Simplify right side
    97.41x = 12,576.24
  5. Step 5: Solve for x
    x = 12,576.24/97.41
  6. Step 6: Final answer
    x = 129.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.