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Finding the Fourth Proportional to 171.96, 256.45 and 152.68

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Solution

The fourth proportional to 171.96, 256.45 and 152.68 is: 227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.96 : 256.45 = 152.68 : x
  2. Step 2: Convert to fraction form
    171.96/256.45 = 152.68/x
  3. Step 3: Cross multiply
    171.96x = 256.45 × 152.68
  4. Step 4: Simplify right side
    171.96x = 39,154.79
  5. Step 5: Solve for x
    x = 39,154.79/171.96
  6. Step 6: Final answer
    x = 227.70

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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.