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Finding the Fourth Proportional to 239.40, 330.52 and 160.82

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Solution

The fourth proportional to 239.40, 330.52 and 160.82 is: 222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.40 : 330.52 = 160.82 : x
  2. Step 2: Convert to fraction form
    239.40/330.52 = 160.82/x
  3. Step 3: Cross multiply
    239.40x = 330.52 × 160.82
  4. Step 4: Simplify right side
    239.40x = 53,154.23
  5. Step 5: Solve for x
    x = 53,154.23/239.40
  6. Step 6: Final answer
    x = 222.03

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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.