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Finding the Fourth Proportional to 171.30, 255.53 and 152.27

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Solution

The fourth proportional to 171.30, 255.53 and 152.27 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.30 : 255.53 = 152.27 : x
  2. Step 2: Convert to fraction form
    171.30/255.53 = 152.27/x
  3. Step 3: Cross multiply
    171.30x = 255.53 × 152.27
  4. Step 4: Simplify right side
    171.30x = 38,909.55
  5. Step 5: Solve for x
    x = 38,909.55/171.30
  6. Step 6: Final answer
    x = 227.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.