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Finding the Fourth Proportional to 331.53, 457.21 and 207.20

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Solution

The fourth proportional to 331.53, 457.21 and 207.20 is: 285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.53 : 457.21 = 207.20 : x
  2. Step 2: Convert to fraction form
    331.53/457.21 = 207.20/x
  3. Step 3: Cross multiply
    331.53x = 457.21 × 207.20
  4. Step 4: Simplify right side
    331.53x = 94,734.54
  5. Step 5: Solve for x
    x = 94,734.54/331.53
  6. Step 6: Final answer
    x = 285.75

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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.