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Finding the Fourth Proportional to 320.57, 442.38 and 180.69

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Solution

The fourth proportional to 320.57, 442.38 and 180.69 is: 249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.57 : 442.38 = 180.69 : x
  2. Step 2: Convert to fraction form
    320.57/442.38 = 180.69/x
  3. Step 3: Cross multiply
    320.57x = 442.38 × 180.69
  4. Step 4: Simplify right side
    320.57x = 79,930.98
  5. Step 5: Solve for x
    x = 79,930.98/320.57
  6. Step 6: Final answer
    x = 249.34

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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.