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Finding the Fourth Proportional to 254.72, 382.23 and 117.75

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Solution

The fourth proportional to 254.72, 382.23 and 117.75 is: 176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.72 : 382.23 = 117.75 : x
  2. Step 2: Convert to fraction form
    254.72/382.23 = 117.75/x
  3. Step 3: Cross multiply
    254.72x = 382.23 × 117.75
  4. Step 4: Simplify right side
    254.72x = 45,007.58
  5. Step 5: Solve for x
    x = 45,007.58/254.72
  6. Step 6: Final answer
    x = 176.70

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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.