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Finding the Fourth Proportional to 171.20, 256.37 and 145.46

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Solution

The fourth proportional to 171.20, 256.37 and 145.46 is: 217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.20 : 256.37 = 145.46 : x
  2. Step 2: Convert to fraction form
    171.20/256.37 = 145.46/x
  3. Step 3: Cross multiply
    171.20x = 256.37 × 145.46
  4. Step 4: Simplify right side
    171.20x = 37,289.57
  5. Step 5: Solve for x
    x = 37,289.57/171.20
  6. Step 6: Final answer
    x = 217.82

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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.