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Finding the Fourth Proportional to 171.34, 256.38 and 102.92

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Solution

The fourth proportional to 171.34, 256.38 and 102.92 is: 154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.34 : 256.38 = 102.92 : x
  2. Step 2: Convert to fraction form
    171.34/256.38 = 102.92/x
  3. Step 3: Cross multiply
    171.34x = 256.38 × 102.92
  4. Step 4: Simplify right side
    171.34x = 26,386.63
  5. Step 5: Solve for x
    x = 26,386.63/171.34
  6. Step 6: Final answer
    x = 154.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.