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Finding the Fourth Proportional to 240.72, 332.42 and 166.07

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Solution

The fourth proportional to 240.72, 332.42 and 166.07 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.72 : 332.42 = 166.07 : x
  2. Step 2: Convert to fraction form
    240.72/332.42 = 166.07/x
  3. Step 3: Cross multiply
    240.72x = 332.42 × 166.07
  4. Step 4: Simplify right side
    240.72x = 55,202.50
  5. Step 5: Solve for x
    x = 55,202.50/240.72
  6. Step 6: Final answer
    x = 229.32

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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.