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Finding the Fourth Proportional to 213.68, 292.90 and 212.72

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Solution

The fourth proportional to 213.68, 292.90 and 212.72 is: 291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.68 : 292.90 = 212.72 : x
  2. Step 2: Convert to fraction form
    213.68/292.90 = 212.72/x
  3. Step 3: Cross multiply
    213.68x = 292.90 × 212.72
  4. Step 4: Simplify right side
    213.68x = 62,305.69
  5. Step 5: Solve for x
    x = 62,305.69/213.68
  6. Step 6: Final answer
    x = 291.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.