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Finding the Fourth Proportional to 96.09, 144.28 and 57.61

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Solution

The fourth proportional to 96.09, 144.28 and 57.61 is: 86.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.09 : 144.28 = 57.61 : x
  2. Step 2: Convert to fraction form
    96.09/144.28 = 57.61/x
  3. Step 3: Cross multiply
    96.09x = 144.28 × 57.61
  4. Step 4: Simplify right side
    96.09x = 8,312.22
  5. Step 5: Solve for x
    x = 8,312.22/96.09
  6. Step 6: Final answer
    x = 86.51

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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.