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Finding the Fourth Proportional to 239.94, 331.14 and 146.71

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Solution

The fourth proportional to 239.94, 331.14 and 146.71 is: 202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.94 : 331.14 = 146.71 : x
  2. Step 2: Convert to fraction form
    239.94/331.14 = 146.71/x
  3. Step 3: Cross multiply
    239.94x = 331.14 × 146.71
  4. Step 4: Simplify right side
    239.94x = 48,581.55
  5. Step 5: Solve for x
    x = 48,581.55/239.94
  6. Step 6: Final answer
    x = 202.47

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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.