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Finding the Fourth Proportional to 471.95, 651.67 and 306.44

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Solution

The fourth proportional to 471.95, 651.67 and 306.44 is: 423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.95 : 651.67 = 306.44 : x
  2. Step 2: Convert to fraction form
    471.95/651.67 = 306.44/x
  3. Step 3: Cross multiply
    471.95x = 651.67 × 306.44
  4. Step 4: Simplify right side
    471.95x = 199,697.75
  5. Step 5: Solve for x
    x = 199,697.75/471.95
  6. Step 6: Final answer
    x = 423.14

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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.