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Finding the Fourth Proportional to 343.12, 472.84 and 244.70

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Solution

The fourth proportional to 343.12, 472.84 and 244.70 is: 337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.12 : 472.84 = 244.70 : x
  2. Step 2: Convert to fraction form
    343.12/472.84 = 244.70/x
  3. Step 3: Cross multiply
    343.12x = 472.84 × 244.70
  4. Step 4: Simplify right side
    343.12x = 115,703.95
  5. Step 5: Solve for x
    x = 115,703.95/343.12
  6. Step 6: Final answer
    x = 337.21

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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.