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Finding the Fourth Proportional to 134.31, 200.40 and 120.72

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Solution

The fourth proportional to 134.31, 200.40 and 120.72 is: 180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.31 : 200.40 = 120.72 : x
  2. Step 2: Convert to fraction form
    134.31/200.40 = 120.72/x
  3. Step 3: Cross multiply
    134.31x = 200.40 × 120.72
  4. Step 4: Simplify right side
    134.31x = 24,192.29
  5. Step 5: Solve for x
    x = 24,192.29/134.31
  6. Step 6: Final answer
    x = 180.12

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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.