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Finding the Fourth Proportional to 134.42, 200.78 and 133.34

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Solution

The fourth proportional to 134.42, 200.78 and 133.34 is: 199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.42 : 200.78 = 133.34 : x
  2. Step 2: Convert to fraction form
    134.42/200.78 = 133.34/x
  3. Step 3: Cross multiply
    134.42x = 200.78 × 133.34
  4. Step 4: Simplify right side
    134.42x = 26,772.01
  5. Step 5: Solve for x
    x = 26,772.01/134.42
  6. Step 6: Final answer
    x = 199.17

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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.