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Finding the Fourth Proportional to 134.82, 199.98 and 133.20

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Solution

The fourth proportional to 134.82, 199.98 and 133.20 is: 197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.82 : 199.98 = 133.20 : x
  2. Step 2: Convert to fraction form
    134.82/199.98 = 133.20/x
  3. Step 3: Cross multiply
    134.82x = 199.98 × 133.20
  4. Step 4: Simplify right side
    134.82x = 26,637.34
  5. Step 5: Solve for x
    x = 26,637.34/134.82
  6. Step 6: Final answer
    x = 197.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.