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Finding the Fourth Proportional to 134.40, 200.49 and 120.72

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Solution

The fourth proportional to 134.40, 200.49 and 120.72 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.40 : 200.49 = 120.72 : x
  2. Step 2: Convert to fraction form
    134.40/200.49 = 120.72/x
  3. Step 3: Cross multiply
    134.40x = 200.49 × 120.72
  4. Step 4: Simplify right side
    134.40x = 24,203.15
  5. Step 5: Solve for x
    x = 24,203.15/134.40
  6. Step 6: Final answer
    x = 180.08

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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.