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Finding the Fourth Proportional to 291.76, 402.12 and 214

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Solution

The fourth proportional to 291.76, 402.12 and 214 is: 294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.76 : 402.12 = 214 : x
  2. Step 2: Convert to fraction form
    291.76/402.12 = 214/x
  3. Step 3: Cross multiply
    291.76x = 402.12 × 214
  4. Step 4: Simplify right side
    291.76x = 86,053.68
  5. Step 5: Solve for x
    x = 86,053.68/291.76
  6. Step 6: Final answer
    x = 294.95

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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.