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Finding the Fourth Proportional to 320.54, 442.19 and 200.88

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Solution

The fourth proportional to 320.54, 442.19 and 200.88 is: 277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.54 : 442.19 = 200.88 : x
  2. Step 2: Convert to fraction form
    320.54/442.19 = 200.88/x
  3. Step 3: Cross multiply
    320.54x = 442.19 × 200.88
  4. Step 4: Simplify right side
    320.54x = 88,827.48
  5. Step 5: Solve for x
    x = 88,827.48/320.54
  6. Step 6: Final answer
    x = 277.12

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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.