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Finding the Fourth Proportional to 331.31, 457.31 and 214.88

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Solution

The fourth proportional to 331.31, 457.31 and 214.88 is: 296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.31 : 457.31 = 214.88 : x
  2. Step 2: Convert to fraction form
    331.31/457.31 = 214.88/x
  3. Step 3: Cross multiply
    331.31x = 457.31 × 214.88
  4. Step 4: Simplify right side
    331.31x = 98,266.77
  5. Step 5: Solve for x
    x = 98,266.77/331.31
  6. Step 6: Final answer
    x = 296.60

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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.