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Finding the Fourth Proportional to 254.04, 380.92 and 117.18

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Solution

The fourth proportional to 254.04, 380.92 and 117.18 is: 175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.04 : 380.92 = 117.18 : x
  2. Step 2: Convert to fraction form
    254.04/380.92 = 117.18/x
  3. Step 3: Cross multiply
    254.04x = 380.92 × 117.18
  4. Step 4: Simplify right side
    254.04x = 44,636.21
  5. Step 5: Solve for x
    x = 44,636.21/254.04
  6. Step 6: Final answer
    x = 175.71

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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.