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Finding the Fourth Proportional to 240.06, 330.94 and 178.10

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Solution

The fourth proportional to 240.06, 330.94 and 178.10 is: 245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.06 : 330.94 = 178.10 : x
  2. Step 2: Convert to fraction form
    240.06/330.94 = 178.10/x
  3. Step 3: Cross multiply
    240.06x = 330.94 × 178.10
  4. Step 4: Simplify right side
    240.06x = 58,939.22
  5. Step 5: Solve for x
    x = 58,939.22/240.06
  6. Step 6: Final answer
    x = 245.51

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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.