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Finding the Fourth Proportional to 136.98, 189.10 and 90.33

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Solution

The fourth proportional to 136.98, 189.10 and 90.33 is: 124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.98 : 189.10 = 90.33 : x
  2. Step 2: Convert to fraction form
    136.98/189.10 = 90.33/x
  3. Step 3: Cross multiply
    136.98x = 189.10 × 90.33
  4. Step 4: Simplify right side
    136.98x = 17,081.69
  5. Step 5: Solve for x
    x = 17,081.69/136.98
  6. Step 6: Final answer
    x = 124.71

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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.