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Finding the Fourth Proportional to 100.08, 149.49 and 89.91

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Solution

The fourth proportional to 100.08, 149.49 and 89.91 is: 134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.08 : 149.49 = 89.91 : x
  2. Step 2: Convert to fraction form
    100.08/149.49 = 89.91/x
  3. Step 3: Cross multiply
    100.08x = 149.49 × 89.91
  4. Step 4: Simplify right side
    100.08x = 13,440.65
  5. Step 5: Solve for x
    x = 13,440.65/100.08
  6. Step 6: Final answer
    x = 134.30

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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.