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Finding the Fourth Proportional to 475.99, 713.77 and 151.22

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Solution

The fourth proportional to 475.99, 713.77 and 151.22 is: 226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.99 : 713.77 = 151.22 : x
  2. Step 2: Convert to fraction form
    475.99/713.77 = 151.22/x
  3. Step 3: Cross multiply
    475.99x = 713.77 × 151.22
  4. Step 4: Simplify right side
    475.99x = 107,936.30
  5. Step 5: Solve for x
    x = 107,936.30/475.99
  6. Step 6: Final answer
    x = 226.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.