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Finding the Fourth Proportional to 215.38, 294.95 and 214.12

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Solution

The fourth proportional to 215.38, 294.95 and 214.12 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.38 : 294.95 = 214.12 : x
  2. Step 2: Convert to fraction form
    215.38/294.95 = 214.12/x
  3. Step 3: Cross multiply
    215.38x = 294.95 × 214.12
  4. Step 4: Simplify right side
    215.38x = 63,154.69
  5. Step 5: Solve for x
    x = 63,154.69/215.38
  6. Step 6: Final answer
    x = 293.22

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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.