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Finding the Fourth Proportional to 134.47, 200.87 and 122.32

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Solution

The fourth proportional to 134.47, 200.87 and 122.32 is: 182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.47 : 200.87 = 122.32 : x
  2. Step 2: Convert to fraction form
    134.47/200.87 = 122.32/x
  3. Step 3: Cross multiply
    134.47x = 200.87 × 122.32
  4. Step 4: Simplify right side
    134.47x = 24,570.42
  5. Step 5: Solve for x
    x = 24,570.42/134.47
  6. Step 6: Final answer
    x = 182.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.