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Finding the Fourth Proportional to 331.57, 457.21 and 207.19

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Solution

The fourth proportional to 331.57, 457.21 and 207.19 is: 285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.57 : 457.21 = 207.19 : x
  2. Step 2: Convert to fraction form
    331.57/457.21 = 207.19/x
  3. Step 3: Cross multiply
    331.57x = 457.21 × 207.19
  4. Step 4: Simplify right side
    331.57x = 94,729.34
  5. Step 5: Solve for x
    x = 94,729.34/331.57
  6. Step 6: Final answer
    x = 285.70

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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.