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Finding the Fourth Proportional to 320.59, 442.28 and 180.67

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Solution

The fourth proportional to 320.59, 442.28 and 180.67 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.59 : 442.28 = 180.67 : x
  2. Step 2: Convert to fraction form
    320.59/442.28 = 180.67/x
  3. Step 3: Cross multiply
    320.59x = 442.28 × 180.67
  4. Step 4: Simplify right side
    320.59x = 79,906.73
  5. Step 5: Solve for x
    x = 79,906.73/320.59
  6. Step 6: Final answer
    x = 249.25

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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.