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Finding the Fourth Proportional to 97.48, 145.28 and 94.90

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Solution

The fourth proportional to 97.48, 145.28 and 94.90 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.48 : 145.28 = 94.90 : x
  2. Step 2: Convert to fraction form
    97.48/145.28 = 94.90/x
  3. Step 3: Cross multiply
    97.48x = 145.28 × 94.90
  4. Step 4: Simplify right side
    97.48x = 13,787.07
  5. Step 5: Solve for x
    x = 13,787.07/97.48
  6. Step 6: Final answer
    x = 141.43

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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.