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Finding the Fourth Proportional to 247.34, 371.12 and 214.88

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Solution

The fourth proportional to 247.34, 371.12 and 214.88 is: 322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.34 : 371.12 = 214.88 : x
  2. Step 2: Convert to fraction form
    247.34/371.12 = 214.88/x
  3. Step 3: Cross multiply
    247.34x = 371.12 × 214.88
  4. Step 4: Simplify right side
    247.34x = 79,746.27
  5. Step 5: Solve for x
    x = 79,746.27/247.34
  6. Step 6: Final answer
    x = 322.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.