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Finding the Fourth Proportional to 350.60, 523.31 and 310.05

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Solution

The fourth proportional to 350.60, 523.31 and 310.05 is: 462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.60 : 523.31 = 310.05 : x
  2. Step 2: Convert to fraction form
    350.60/523.31 = 310.05/x
  3. Step 3: Cross multiply
    350.60x = 523.31 × 310.05
  4. Step 4: Simplify right side
    350.60x = 162,250.72
  5. Step 5: Solve for x
    x = 162,250.72/350.60
  6. Step 6: Final answer
    x = 462.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.