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Finding the Fourth Proportional to 174.78, 240.21 and 135.90

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Solution

The fourth proportional to 174.78, 240.21 and 135.90 is: 186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.78 : 240.21 = 135.90 : x
  2. Step 2: Convert to fraction form
    174.78/240.21 = 135.90/x
  3. Step 3: Cross multiply
    174.78x = 240.21 × 135.90
  4. Step 4: Simplify right side
    174.78x = 32,644.54
  5. Step 5: Solve for x
    x = 32,644.54/174.78
  6. Step 6: Final answer
    x = 186.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.