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Finding the Fourth Proportional to 343.06, 473.69 and 225.11

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Solution

The fourth proportional to 343.06, 473.69 and 225.11 is: 310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.06 : 473.69 = 225.11 : x
  2. Step 2: Convert to fraction form
    343.06/473.69 = 225.11/x
  3. Step 3: Cross multiply
    343.06x = 473.69 × 225.11
  4. Step 4: Simplify right side
    343.06x = 106,631.23
  5. Step 5: Solve for x
    x = 106,631.23/343.06
  6. Step 6: Final answer
    x = 310.83

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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.