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Finding the Fourth Proportional to 99.50, 149.72 and 90.54

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Solution

The fourth proportional to 99.50, 149.72 and 90.54 is: 136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.50 : 149.72 = 90.54 : x
  2. Step 2: Convert to fraction form
    99.50/149.72 = 90.54/x
  3. Step 3: Cross multiply
    99.50x = 149.72 × 90.54
  4. Step 4: Simplify right side
    99.50x = 13,555.65
  5. Step 5: Solve for x
    x = 13,555.65/99.50
  6. Step 6: Final answer
    x = 136.24

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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.