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Finding the Fourth Proportional to 471.69, 651.33 and 306.19

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Solution

The fourth proportional to 471.69, 651.33 and 306.19 is: 422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.69 : 651.33 = 306.19 : x
  2. Step 2: Convert to fraction form
    471.69/651.33 = 306.19/x
  3. Step 3: Cross multiply
    471.69x = 651.33 × 306.19
  4. Step 4: Simplify right side
    471.69x = 199,430.40
  5. Step 5: Solve for x
    x = 199,430.40/471.69
  6. Step 6: Final answer
    x = 422.80

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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.