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Finding the Fourth Proportional to 351.14, 525.38 and 209.90

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Solution

The fourth proportional to 351.14, 525.38 and 209.90 is: 314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.14 : 525.38 = 209.90 : x
  2. Step 2: Convert to fraction form
    351.14/525.38 = 209.90/x
  3. Step 3: Cross multiply
    351.14x = 525.38 × 209.90
  4. Step 4: Simplify right side
    351.14x = 110,276.86
  5. Step 5: Solve for x
    x = 110,276.86/351.14
  6. Step 6: Final answer
    x = 314.06

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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.