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Finding the Fourth Proportional to 100, 149.80 and 90.04

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Solution

The fourth proportional to 100, 149.80 and 90.04 is: 134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 149.80 = 90.04 : x
  2. Step 2: Convert to fraction form
    100/149.80 = 90.04/x
  3. Step 3: Cross multiply
    100x = 149.80 × 90.04
  4. Step 4: Simplify right side
    100x = 13,487.99
  5. Step 5: Solve for x
    x = 13,487.99/100
  6. Step 6: Final answer
    x = 134.88

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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.