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Finding the Fourth Proportional to 331.59, 457.82 and 207.30

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Solution

The fourth proportional to 331.59, 457.82 and 207.30 is: 286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.59 : 457.82 = 207.30 : x
  2. Step 2: Convert to fraction form
    331.59/457.82 = 207.30/x
  3. Step 3: Cross multiply
    331.59x = 457.82 × 207.30
  4. Step 4: Simplify right side
    331.59x = 94,905.05
  5. Step 5: Solve for x
    x = 94,905.05/331.59
  6. Step 6: Final answer
    x = 286.21

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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.