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Finding the Fourth Proportional to 239.89, 330.33 and 213.29

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Solution

The fourth proportional to 239.89, 330.33 and 213.29 is: 293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.89 : 330.33 = 213.29 : x
  2. Step 2: Convert to fraction form
    239.89/330.33 = 213.29/x
  3. Step 3: Cross multiply
    239.89x = 330.33 × 213.29
  4. Step 4: Simplify right side
    239.89x = 70,455.51
  5. Step 5: Solve for x
    x = 70,455.51/239.89
  6. Step 6: Final answer
    x = 293.70

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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.