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Finding the Fourth Proportional to 343, 473.10 and 211.78

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Solution

The fourth proportional to 343, 473.10 and 211.78 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343 : 473.10 = 211.78 : x
  2. Step 2: Convert to fraction form
    343/473.10 = 211.78/x
  3. Step 3: Cross multiply
    343x = 473.10 × 211.78
  4. Step 4: Simplify right side
    343x = 100,193.12
  5. Step 5: Solve for x
    x = 100,193.12/343
  6. Step 6: Final answer
    x = 292.11

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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.