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Finding the Fourth Proportional to 134.49, 184.47 and 132.87

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Solution

The fourth proportional to 134.49, 184.47 and 132.87 is: 182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.49 : 184.47 = 132.87 : x
  2. Step 2: Convert to fraction form
    134.49/184.47 = 132.87/x
  3. Step 3: Cross multiply
    134.49x = 184.47 × 132.87
  4. Step 4: Simplify right side
    134.49x = 24,510.53
  5. Step 5: Solve for x
    x = 24,510.53/134.49
  6. Step 6: Final answer
    x = 182.25

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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.