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Finding the Fourth Proportional to 342.39, 472.73 and 211.58

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Solution

The fourth proportional to 342.39, 472.73 and 211.58 is: 292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.39 : 472.73 = 211.58 : x
  2. Step 2: Convert to fraction form
    342.39/472.73 = 211.58/x
  3. Step 3: Cross multiply
    342.39x = 472.73 × 211.58
  4. Step 4: Simplify right side
    342.39x = 100,020.21
  5. Step 5: Solve for x
    x = 100,020.21/342.39
  6. Step 6: Final answer
    x = 292.12

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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.