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Finding the Fourth Proportional to 239.84, 331.80 and 210.80

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Solution

The fourth proportional to 239.84, 331.80 and 210.80 is: 291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.84 : 331.80 = 210.80 : x
  2. Step 2: Convert to fraction form
    239.84/331.80 = 210.80/x
  3. Step 3: Cross multiply
    239.84x = 331.80 × 210.80
  4. Step 4: Simplify right side
    239.84x = 69,943.44
  5. Step 5: Solve for x
    x = 69,943.44/239.84
  6. Step 6: Final answer
    x = 291.63

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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.