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Finding the Fourth Proportional to 310.41, 430.32 and 294.78

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Solution

The fourth proportional to 310.41, 430.32 and 294.78 is: 408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.41 : 430.32 = 294.78 : x
  2. Step 2: Convert to fraction form
    310.41/430.32 = 294.78/x
  3. Step 3: Cross multiply
    310.41x = 430.32 × 294.78
  4. Step 4: Simplify right side
    310.41x = 126,849.73
  5. Step 5: Solve for x
    x = 126,849.73/310.41
  6. Step 6: Final answer
    x = 408.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.