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Finding the Fourth Proportional to 471.89, 651.42 and 306.38

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Solution

The fourth proportional to 471.89, 651.42 and 306.38 is: 422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.89 : 651.42 = 306.38 : x
  2. Step 2: Convert to fraction form
    471.89/651.42 = 306.38/x
  3. Step 3: Cross multiply
    471.89x = 651.42 × 306.38
  4. Step 4: Simplify right side
    471.89x = 199,583.69
  5. Step 5: Solve for x
    x = 199,583.69/471.89
  6. Step 6: Final answer
    x = 422.94

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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.