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Finding the Fourth Proportional to 353.50, 531.12 and 326.14

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Solution

The fourth proportional to 353.50, 531.12 and 326.14 is: 490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.50 : 531.12 = 326.14 : x
  2. Step 2: Convert to fraction form
    353.50/531.12 = 326.14/x
  3. Step 3: Cross multiply
    353.50x = 531.12 × 326.14
  4. Step 4: Simplify right side
    353.50x = 173,219.48
  5. Step 5: Solve for x
    x = 173,219.48/353.50
  6. Step 6: Final answer
    x = 490.01

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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.