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Finding the Fourth Proportional to 315.97, 473.87 and 200.24

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Solution

The fourth proportional to 315.97, 473.87 and 200.24 is: 300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.97 : 473.87 = 200.24 : x
  2. Step 2: Convert to fraction form
    315.97/473.87 = 200.24/x
  3. Step 3: Cross multiply
    315.97x = 473.87 × 200.24
  4. Step 4: Simplify right side
    315.97x = 94,886.73
  5. Step 5: Solve for x
    x = 94,886.73/315.97
  6. Step 6: Final answer
    x = 300.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.