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Finding the Fourth Proportional to 134.51, 200.69 and 119.89

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Solution

The fourth proportional to 134.51, 200.69 and 119.89 is: 178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.51 : 200.69 = 119.89 : x
  2. Step 2: Convert to fraction form
    134.51/200.69 = 119.89/x
  3. Step 3: Cross multiply
    134.51x = 200.69 × 119.89
  4. Step 4: Simplify right side
    134.51x = 24,060.72
  5. Step 5: Solve for x
    x = 24,060.72/134.51
  6. Step 6: Final answer
    x = 178.88

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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.