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Finding the Fourth Proportional to 350.08, 523.74 and 309.04

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Solution

The fourth proportional to 350.08, 523.74 and 309.04 is: 462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.08 : 523.74 = 309.04 : x
  2. Step 2: Convert to fraction form
    350.08/523.74 = 309.04/x
  3. Step 3: Cross multiply
    350.08x = 523.74 × 309.04
  4. Step 4: Simplify right side
    350.08x = 161,856.61
  5. Step 5: Solve for x
    x = 161,856.61/350.08
  6. Step 6: Final answer
    x = 462.34

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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.