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Finding the Fourth Proportional to 342.84, 472.92 and 211.76

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Solution

The fourth proportional to 342.84, 472.92 and 211.76 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.84 : 472.92 = 211.76 : x
  2. Step 2: Convert to fraction form
    342.84/472.92 = 211.76/x
  3. Step 3: Cross multiply
    342.84x = 472.92 × 211.76
  4. Step 4: Simplify right side
    342.84x = 100,145.54
  5. Step 5: Solve for x
    x = 100,145.54/342.84
  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.