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Finding the Fourth Proportional to 320.30, 442.01 and 180.43

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Solution

The fourth proportional to 320.30, 442.01 and 180.43 is: 248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.30 : 442.01 = 180.43 : x
  2. Step 2: Convert to fraction form
    320.30/442.01 = 180.43/x
  3. Step 3: Cross multiply
    320.30x = 442.01 × 180.43
  4. Step 4: Simplify right side
    320.30x = 79,751.86
  5. Step 5: Solve for x
    x = 79,751.86/320.30
  6. Step 6: Final answer
    x = 248.99

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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.