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Finding the Fourth Proportional to 97.32, 145.23 and 94.44

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Solution

The fourth proportional to 97.32, 145.23 and 94.44 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.32 : 145.23 = 94.44 : x
  2. Step 2: Convert to fraction form
    97.32/145.23 = 94.44/x
  3. Step 3: Cross multiply
    97.32x = 145.23 × 94.44
  4. Step 4: Simplify right side
    97.32x = 13,715.52
  5. Step 5: Solve for x
    x = 13,715.52/97.32
  6. Step 6: Final answer
    x = 140.93

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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.