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Finding the Fourth Proportional to 97.29, 145.95 and 88.11

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Solution

The fourth proportional to 97.29, 145.95 and 88.11 is: 132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.29 : 145.95 = 88.11 : x
  2. Step 2: Convert to fraction form
    97.29/145.95 = 88.11/x
  3. Step 3: Cross multiply
    97.29x = 145.95 × 88.11
  4. Step 4: Simplify right side
    97.29x = 12,859.65
  5. Step 5: Solve for x
    x = 12,859.65/97.29
  6. Step 6: Final answer
    x = 132.18

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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.