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Finding the Fourth Proportional to 239.85, 331.03 and 157.03

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Solution

The fourth proportional to 239.85, 331.03 and 157.03 is: 216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.85 : 331.03 = 157.03 : x
  2. Step 2: Convert to fraction form
    239.85/331.03 = 157.03/x
  3. Step 3: Cross multiply
    239.85x = 331.03 × 157.03
  4. Step 4: Simplify right side
    239.85x = 51,981.25
  5. Step 5: Solve for x
    x = 51,981.25/239.85
  6. Step 6: Final answer
    x = 216.72

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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.