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Finding the Fourth Proportional to 96.32, 143.67 and 85.38

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Solution

The fourth proportional to 96.32, 143.67 and 85.38 is: 127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.32 : 143.67 = 85.38 : x
  2. Step 2: Convert to fraction form
    96.32/143.67 = 85.38/x
  3. Step 3: Cross multiply
    96.32x = 143.67 × 85.38
  4. Step 4: Simplify right side
    96.32x = 12,266.54
  5. Step 5: Solve for x
    x = 12,266.54/96.32
  6. Step 6: Final answer
    x = 127.35

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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.