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Finding the Fourth Proportional to 239.58, 330.27 and 189.72

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Solution

The fourth proportional to 239.58, 330.27 and 189.72 is: 261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.58 : 330.27 = 189.72 : x
  2. Step 2: Convert to fraction form
    239.58/330.27 = 189.72/x
  3. Step 3: Cross multiply
    239.58x = 330.27 × 189.72
  4. Step 4: Simplify right side
    239.58x = 62,658.82
  5. Step 5: Solve for x
    x = 62,658.82/239.58
  6. Step 6: Final answer
    x = 261.54

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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.