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Finding the Fourth Proportional to 343.80, 474.39 and 225.81

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Solution

The fourth proportional to 343.80, 474.39 and 225.81 is: 311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.80 : 474.39 = 225.81 : x
  2. Step 2: Convert to fraction form
    343.80/474.39 = 225.81/x
  3. Step 3: Cross multiply
    343.80x = 474.39 × 225.81
  4. Step 4: Simplify right side
    343.80x = 107,122.01
  5. Step 5: Solve for x
    x = 107,122.01/343.80
  6. Step 6: Final answer
    x = 311.58

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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.