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Finding the Fourth Proportional to 331.57, 457.71 and 233.69

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Solution

The fourth proportional to 331.57, 457.71 and 233.69 is: 322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.57 : 457.71 = 233.69 : x
  2. Step 2: Convert to fraction form
    331.57/457.71 = 233.69/x
  3. Step 3: Cross multiply
    331.57x = 457.71 × 233.69
  4. Step 4: Simplify right side
    331.57x = 106,962.25
  5. Step 5: Solve for x
    x = 106,962.25/331.57
  6. Step 6: Final answer
    x = 322.59

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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.