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Finding the Fourth Proportional to 343.46, 474.14 and 231.45

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Solution

The fourth proportional to 343.46, 474.14 and 231.45 is: 319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.46 : 474.14 = 231.45 : x
  2. Step 2: Convert to fraction form
    343.46/474.14 = 231.45/x
  3. Step 3: Cross multiply
    343.46x = 474.14 × 231.45
  4. Step 4: Simplify right side
    343.46x = 109,738.55
  5. Step 5: Solve for x
    x = 109,738.55/343.46
  6. Step 6: Final answer
    x = 319.51

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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.