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Finding the Fourth Proportional to 320.47, 442.25 and 180.58

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Solution

The fourth proportional to 320.47, 442.25 and 180.58 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.47 : 442.25 = 180.58 : x
  2. Step 2: Convert to fraction form
    320.47/442.25 = 180.58/x
  3. Step 3: Cross multiply
    320.47x = 442.25 × 180.58
  4. Step 4: Simplify right side
    320.47x = 79,861.51
  5. Step 5: Solve for x
    x = 79,861.51/320.47
  6. Step 6: Final answer
    x = 249.20

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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.