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Finding the Fourth Proportional to 212.17, 294.82 and 209.92

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Solution

The fourth proportional to 212.17, 294.82 and 209.92 is: 291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.17 : 294.82 = 209.92 : x
  2. Step 2: Convert to fraction form
    212.17/294.82 = 209.92/x
  3. Step 3: Cross multiply
    212.17x = 294.82 × 209.92
  4. Step 4: Simplify right side
    212.17x = 61,888.61
  5. Step 5: Solve for x
    x = 61,888.61/212.17
  6. Step 6: Final answer
    x = 291.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.