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Finding the Fourth Proportional to 239.50, 330.58 and 211.96

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Solution

The fourth proportional to 239.50, 330.58 and 211.96 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.50 : 330.58 = 211.96 : x
  2. Step 2: Convert to fraction form
    239.50/330.58 = 211.96/x
  3. Step 3: Cross multiply
    239.50x = 330.58 × 211.96
  4. Step 4: Simplify right side
    239.50x = 70,069.74
  5. Step 5: Solve for x
    x = 70,069.74/239.50
  6. Step 6: Final answer
    x = 292.57

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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.