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Finding the Fourth Proportional to 318.41, 439.40 and 180.41

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Solution

The fourth proportional to 318.41, 439.40 and 180.41 is: 248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.41 : 439.40 = 180.41 : x
  2. Step 2: Convert to fraction form
    318.41/439.40 = 180.41/x
  3. Step 3: Cross multiply
    318.41x = 439.40 × 180.41
  4. Step 4: Simplify right side
    318.41x = 79,271.25
  5. Step 5: Solve for x
    x = 79,271.25/318.41
  6. Step 6: Final answer
    x = 248.96

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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.