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Finding the Fourth Proportional to 471.98, 651.47 and 306.20

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Solution

The fourth proportional to 471.98, 651.47 and 306.20 is: 422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.98 : 651.47 = 306.20 : x
  2. Step 2: Convert to fraction form
    471.98/651.47 = 306.20/x
  3. Step 3: Cross multiply
    471.98x = 651.47 × 306.20
  4. Step 4: Simplify right side
    471.98x = 199,480.21
  5. Step 5: Solve for x
    x = 199,480.21/471.98
  6. Step 6: Final answer
    x = 422.65

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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.