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Finding the Fourth Proportional to 101.91, 151.97 and 96.35

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Solution

The fourth proportional to 101.91, 151.97 and 96.35 is: 143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.91 : 151.97 = 96.35 : x
  2. Step 2: Convert to fraction form
    101.91/151.97 = 96.35/x
  3. Step 3: Cross multiply
    101.91x = 151.97 × 96.35
  4. Step 4: Simplify right side
    101.91x = 14,642.31
  5. Step 5: Solve for x
    x = 14,642.31/101.91
  6. Step 6: Final answer
    x = 143.68

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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.