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Finding the Fourth Proportional to 318.17, 439.04 and 178.26

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Solution

The fourth proportional to 318.17, 439.04 and 178.26 is: 245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.17 : 439.04 = 178.26 : x
  2. Step 2: Convert to fraction form
    318.17/439.04 = 178.26/x
  3. Step 3: Cross multiply
    318.17x = 439.04 × 178.26
  4. Step 4: Simplify right side
    318.17x = 78,263.27
  5. Step 5: Solve for x
    x = 78,263.27/318.17
  6. Step 6: Final answer
    x = 245.98

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Why These Related Problems?

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