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Finding the Fourth Proportional to 318.16, 439.08 and 178.29

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Solution

The fourth proportional to 318.16, 439.08 and 178.29 is: 246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.16 : 439.08 = 178.29 : x
  2. Step 2: Convert to fraction form
    318.16/439.08 = 178.29/x
  3. Step 3: Cross multiply
    318.16x = 439.08 × 178.29
  4. Step 4: Simplify right side
    318.16x = 78,283.91
  5. Step 5: Solve for x
    x = 78,283.91/318.16
  6. Step 6: Final answer
    x = 246.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.