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Finding the Fourth Proportional to 254.01, 380.40 and 131.91

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Solution

The fourth proportional to 254.01, 380.40 and 131.91 is: 197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.01 : 380.40 = 131.91 : x
  2. Step 2: Convert to fraction form
    254.01/380.40 = 131.91/x
  3. Step 3: Cross multiply
    254.01x = 380.40 × 131.91
  4. Step 4: Simplify right side
    254.01x = 50,178.56
  5. Step 5: Solve for x
    x = 50,178.56/254.01
  6. Step 6: Final answer
    x = 197.55

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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.