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Finding the Fourth Proportional to 331.90, 457.90 and 213.87

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Solution

The fourth proportional to 331.90, 457.90 and 213.87 is: 295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.90 : 457.90 = 213.87 : x
  2. Step 2: Convert to fraction form
    331.90/457.90 = 213.87/x
  3. Step 3: Cross multiply
    331.90x = 457.90 × 213.87
  4. Step 4: Simplify right side
    331.90x = 97,931.07
  5. Step 5: Solve for x
    x = 97,931.07/331.90
  6. Step 6: Final answer
    x = 295.06

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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.