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Finding the Fourth Proportional to 171.71, 256.48 and 147.43

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Solution

The fourth proportional to 171.71, 256.48 and 147.43 is: 220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.71 : 256.48 = 147.43 : x
  2. Step 2: Convert to fraction form
    171.71/256.48 = 147.43/x
  3. Step 3: Cross multiply
    171.71x = 256.48 × 147.43
  4. Step 4: Simplify right side
    171.71x = 37,813.11
  5. Step 5: Solve for x
    x = 37,813.11/171.71
  6. Step 6: Final answer
    x = 220.21

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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.