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Finding the Fourth Proportional to 100.32, 149.64 and 97.12

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Solution

The fourth proportional to 100.32, 149.64 and 97.12 is: 144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.32 : 149.64 = 97.12 : x
  2. Step 2: Convert to fraction form
    100.32/149.64 = 97.12/x
  3. Step 3: Cross multiply
    100.32x = 149.64 × 97.12
  4. Step 4: Simplify right side
    100.32x = 14,533.04
  5. Step 5: Solve for x
    x = 14,533.04/100.32
  6. Step 6: Final answer
    x = 144.87

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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.