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Finding the Fourth Proportional to 350.24, 522.36 and 309.92

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Solution

The fourth proportional to 350.24, 522.36 and 309.92 is: 462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.24 : 522.36 = 309.92 : x
  2. Step 2: Convert to fraction form
    350.24/522.36 = 309.92/x
  3. Step 3: Cross multiply
    350.24x = 522.36 × 309.92
  4. Step 4: Simplify right side
    350.24x = 161,889.81
  5. Step 5: Solve for x
    x = 161,889.81/350.24
  6. Step 6: Final answer
    x = 462.23

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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.