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Finding the Fourth Proportional to 351.06, 523.50 and 309.75

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Solution

The fourth proportional to 351.06, 523.50 and 309.75 is: 461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.06 : 523.50 = 309.75 : x
  2. Step 2: Convert to fraction form
    351.06/523.50 = 309.75/x
  3. Step 3: Cross multiply
    351.06x = 523.50 × 309.75
  4. Step 4: Simplify right side
    351.06x = 162,154.13
  5. Step 5: Solve for x
    x = 162,154.13/351.06
  6. Step 6: Final answer
    x = 461.90

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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.