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Finding the Fourth Proportional to 372.14, 513.58 and 214.78

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Solution

The fourth proportional to 372.14, 513.58 and 214.78 is: 296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.14 : 513.58 = 214.78 : x
  2. Step 2: Convert to fraction form
    372.14/513.58 = 214.78/x
  3. Step 3: Cross multiply
    372.14x = 513.58 × 214.78
  4. Step 4: Simplify right side
    372.14x = 110,306.71
  5. Step 5: Solve for x
    x = 110,306.71/372.14
  6. Step 6: Final answer
    x = 296.41

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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.