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Finding the Fourth Proportional to 134.34, 184.17 and 131.91

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Solution

The fourth proportional to 134.34, 184.17 and 131.91 is: 180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.34 : 184.17 = 131.91 : x
  2. Step 2: Convert to fraction form
    134.34/184.17 = 131.91/x
  3. Step 3: Cross multiply
    134.34x = 184.17 × 131.91
  4. Step 4: Simplify right side
    134.34x = 24,293.86
  5. Step 5: Solve for x
    x = 24,293.86/134.34
  6. Step 6: Final answer
    x = 180.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.