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Finding the Fourth Proportional to 215.46, 295.95 and 212.42

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Solution

The fourth proportional to 215.46, 295.95 and 212.42 is: 291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.46 : 295.95 = 212.42 : x
  2. Step 2: Convert to fraction form
    215.46/295.95 = 212.42/x
  3. Step 3: Cross multiply
    215.46x = 295.95 × 212.42
  4. Step 4: Simplify right side
    215.46x = 62,867.24
  5. Step 5: Solve for x
    x = 62,867.24/215.46
  6. Step 6: Final answer
    x = 291.78

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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.