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Finding the Fourth Proportional to 171.16, 256.75 and 49.42

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Solution

The fourth proportional to 171.16, 256.75 and 49.42 is: 74.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.16 : 256.75 = 49.42 : x
  2. Step 2: Convert to fraction form
    171.16/256.75 = 49.42/x
  3. Step 3: Cross multiply
    171.16x = 256.75 × 49.42
  4. Step 4: Simplify right side
    171.16x = 12,688.59
  5. Step 5: Solve for x
    x = 12,688.59/171.16
  6. Step 6: Final answer
    x = 74.13

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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.