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Finding the Fourth Proportional to 239.23, 330.34 and 156.30

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Solution

The fourth proportional to 239.23, 330.34 and 156.30 is: 215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.23 : 330.34 = 156.30 : x
  2. Step 2: Convert to fraction form
    239.23/330.34 = 156.30/x
  3. Step 3: Cross multiply
    239.23x = 330.34 × 156.30
  4. Step 4: Simplify right side
    239.23x = 51,632.14
  5. Step 5: Solve for x
    x = 51,632.14/239.23
  6. Step 6: Final answer
    x = 215.83

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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.