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Finding the Fourth Proportional to 476.73, 714.49 and 229.78

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Solution

The fourth proportional to 476.73, 714.49 and 229.78 is: 344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.73 : 714.49 = 229.78 : x
  2. Step 2: Convert to fraction form
    476.73/714.49 = 229.78/x
  3. Step 3: Cross multiply
    476.73x = 714.49 × 229.78
  4. Step 4: Simplify right side
    476.73x = 164,175.83
  5. Step 5: Solve for x
    x = 164,175.83/476.73
  6. Step 6: Final answer
    x = 344.38

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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.