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Finding the Fourth Proportional to 96.53, 143.87 and 96.38

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Solution

The fourth proportional to 96.53, 143.87 and 96.38 is: 143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.53 : 143.87 = 96.38 : x
  2. Step 2: Convert to fraction form
    96.53/143.87 = 96.38/x
  3. Step 3: Cross multiply
    96.53x = 143.87 × 96.38
  4. Step 4: Simplify right side
    96.53x = 13,864.99
  5. Step 5: Solve for x
    x = 13,864.99/96.53
  6. Step 6: Final answer
    x = 143.64

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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.