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Finding the Fourth Proportional to 240.79, 331.81 and 178.53

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Solution

The fourth proportional to 240.79, 331.81 and 178.53 is: 246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.79 : 331.81 = 178.53 : x
  2. Step 2: Convert to fraction form
    240.79/331.81 = 178.53/x
  3. Step 3: Cross multiply
    240.79x = 331.81 × 178.53
  4. Step 4: Simplify right side
    240.79x = 59,238.04
  5. Step 5: Solve for x
    x = 59,238.04/240.79
  6. Step 6: Final answer
    x = 246.02

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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.