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Finding the Fourth Proportional to 109.25, 150.42 and 90.80

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Solution

The fourth proportional to 109.25, 150.42 and 90.80 is: 125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.25 : 150.42 = 90.80 : x
  2. Step 2: Convert to fraction form
    109.25/150.42 = 90.80/x
  3. Step 3: Cross multiply
    109.25x = 150.42 × 90.80
  4. Step 4: Simplify right side
    109.25x = 13,657.38
  5. Step 5: Solve for x
    x = 13,657.38/109.25
  6. Step 6: Final answer
    x = 125.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.