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Finding the Fourth Proportional to 401.22, 600.69 and 310.10

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Solution

The fourth proportional to 401.22, 600.69 and 310.10 is: 464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.22 : 600.69 = 310.10 : x
  2. Step 2: Convert to fraction form
    401.22/600.69 = 310.10/x
  3. Step 3: Cross multiply
    401.22x = 600.69 × 310.10
  4. Step 4: Simplify right side
    401.22x = 186,273.97
  5. Step 5: Solve for x
    x = 186,273.97/401.22
  6. Step 6: Final answer
    x = 464.27

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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.