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Finding the Fourth Proportional to 133.40, 198.93 and 127.59

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Solution

The fourth proportional to 133.40, 198.93 and 127.59 is: 190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.40 : 198.93 = 127.59 : x
  2. Step 2: Convert to fraction form
    133.40/198.93 = 127.59/x
  3. Step 3: Cross multiply
    133.40x = 198.93 × 127.59
  4. Step 4: Simplify right side
    133.40x = 25,381.48
  5. Step 5: Solve for x
    x = 25,381.48/133.40
  6. Step 6: Final answer
    x = 190.27

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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.