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Finding the Fourth Proportional to 134.23, 185.17 and 90.49

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Solution

The fourth proportional to 134.23, 185.17 and 90.49 is: 124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.23 : 185.17 = 90.49 : x
  2. Step 2: Convert to fraction form
    134.23/185.17 = 90.49/x
  3. Step 3: Cross multiply
    134.23x = 185.17 × 90.49
  4. Step 4: Simplify right side
    134.23x = 16,756.76
  5. Step 5: Solve for x
    x = 16,756.76/134.23
  6. Step 6: Final answer
    x = 124.83

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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.