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Finding the Fourth Proportional to 473.97, 711.10 and 243.02

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Solution

The fourth proportional to 473.97, 711.10 and 243.02 is: 364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.97 : 711.10 = 243.02 : x
  2. Step 2: Convert to fraction form
    473.97/711.10 = 243.02/x
  3. Step 3: Cross multiply
    473.97x = 711.10 × 243.02
  4. Step 4: Simplify right side
    473.97x = 172,813.30
  5. Step 5: Solve for x
    x = 172,813.30/473.97
  6. Step 6: Final answer
    x = 364.61

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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.