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Finding the Fourth Proportional to 133.98, 201.77 and 117.93

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Solution

The fourth proportional to 133.98, 201.77 and 117.93 is: 177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.98 : 201.77 = 117.93 : x
  2. Step 2: Convert to fraction form
    133.98/201.77 = 117.93/x
  3. Step 3: Cross multiply
    133.98x = 201.77 × 117.93
  4. Step 4: Simplify right side
    133.98x = 23,794.15
  5. Step 5: Solve for x
    x = 23,794.15/133.98
  6. Step 6: Final answer
    x = 177.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.