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Finding the Fourth Proportional to 100.36, 150.91 and 96.71

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Solution

The fourth proportional to 100.36, 150.91 and 96.71 is: 145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.36 : 150.91 = 96.71 : x
  2. Step 2: Convert to fraction form
    100.36/150.91 = 96.71/x
  3. Step 3: Cross multiply
    100.36x = 150.91 × 96.71
  4. Step 4: Simplify right side
    100.36x = 14,594.64
  5. Step 5: Solve for x
    x = 14,594.64/100.36
  6. Step 6: Final answer
    x = 145.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.