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Finding the Fourth Proportional to 318.54, 439.51 and 180.54

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Solution

The fourth proportional to 318.54, 439.51 and 180.54 is: 249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.54 : 439.51 = 180.54 : x
  2. Step 2: Convert to fraction form
    318.54/439.51 = 180.54/x
  3. Step 3: Cross multiply
    318.54x = 439.51 × 180.54
  4. Step 4: Simplify right side
    318.54x = 79,349.14
  5. Step 5: Solve for x
    x = 79,349.14/318.54
  6. Step 6: Final answer
    x = 249.10

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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.