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Finding the Fourth Proportional to 303.28, 418.42 and 178.90

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Solution

The fourth proportional to 303.28, 418.42 and 178.90 is: 246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.28 : 418.42 = 178.90 : x
  2. Step 2: Convert to fraction form
    303.28/418.42 = 178.90/x
  3. Step 3: Cross multiply
    303.28x = 418.42 × 178.90
  4. Step 4: Simplify right side
    303.28x = 74,854.52
  5. Step 5: Solve for x
    x = 74,854.52/303.28
  6. Step 6: Final answer
    x = 246.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.