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Finding the Fourth Proportional to 101.66, 151.81 and 96.39

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Solution

The fourth proportional to 101.66, 151.81 and 96.39 is: 143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.66 : 151.81 = 96.39 : x
  2. Step 2: Convert to fraction form
    101.66/151.81 = 96.39/x
  3. Step 3: Cross multiply
    101.66x = 151.81 × 96.39
  4. Step 4: Simplify right side
    101.66x = 14,632.72
  5. Step 5: Solve for x
    x = 14,632.72/101.66
  6. Step 6: Final answer
    x = 143.94

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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.