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Finding the Fourth Proportional to 343.21, 473.88 and 223.78

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Solution

The fourth proportional to 343.21, 473.88 and 223.78 is: 308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.21 : 473.88 = 223.78 : x
  2. Step 2: Convert to fraction form
    343.21/473.88 = 223.78/x
  3. Step 3: Cross multiply
    343.21x = 473.88 × 223.78
  4. Step 4: Simplify right side
    343.21x = 106,045.98
  5. Step 5: Solve for x
    x = 106,045.98/343.21
  6. Step 6: Final answer
    x = 308.98

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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.