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Finding the Fourth Proportional to 96.09, 143.31 and 90.42

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Solution

The fourth proportional to 96.09, 143.31 and 90.42 is: 134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.09 : 143.31 = 90.42 : x
  2. Step 2: Convert to fraction form
    96.09/143.31 = 90.42/x
  3. Step 3: Cross multiply
    96.09x = 143.31 × 90.42
  4. Step 4: Simplify right side
    96.09x = 12,958.09
  5. Step 5: Solve for x
    x = 12,958.09/96.09
  6. Step 6: Final answer
    x = 134.85

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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.