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Finding the Fourth Proportional to 427.74, 641.55 and 135.27

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Solution

The fourth proportional to 427.74, 641.55 and 135.27 is: 202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.74 : 641.55 = 135.27 : x
  2. Step 2: Convert to fraction form
    427.74/641.55 = 135.27/x
  3. Step 3: Cross multiply
    427.74x = 641.55 × 135.27
  4. Step 4: Simplify right side
    427.74x = 86,781.20
  5. Step 5: Solve for x
    x = 86,781.20/427.74
  6. Step 6: Final answer
    x = 202.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.