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Finding the Fourth Proportional to 97.23, 145.76 and 89.13

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Solution

The fourth proportional to 97.23, 145.76 and 89.13 is: 133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.23 : 145.76 = 89.13 : x
  2. Step 2: Convert to fraction form
    97.23/145.76 = 89.13/x
  3. Step 3: Cross multiply
    97.23x = 145.76 × 89.13
  4. Step 4: Simplify right side
    97.23x = 12,991.14
  5. Step 5: Solve for x
    x = 12,991.14/97.23
  6. Step 6: Final answer
    x = 133.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.