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Finding the Fourth Proportional to 100.81, 150.49 and 96.76

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Solution

The fourth proportional to 100.81, 150.49 and 96.76 is: 144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.81 : 150.49 = 96.76 : x
  2. Step 2: Convert to fraction form
    100.81/150.49 = 96.76/x
  3. Step 3: Cross multiply
    100.81x = 150.49 × 96.76
  4. Step 4: Simplify right side
    100.81x = 14,561.41
  5. Step 5: Solve for x
    x = 14,561.41/100.81
  6. Step 6: Final answer
    x = 144.44

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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.