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Finding the Fourth Proportional to 473.46, 709.48 and 229.47

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Solution

The fourth proportional to 473.46, 709.48 and 229.47 is: 343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.46 : 709.48 = 229.47 : x
  2. Step 2: Convert to fraction form
    473.46/709.48 = 229.47/x
  3. Step 3: Cross multiply
    473.46x = 709.48 × 229.47
  4. Step 4: Simplify right side
    473.46x = 162,804.38
  5. Step 5: Solve for x
    x = 162,804.38/473.46
  6. Step 6: Final answer
    x = 343.86

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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.