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Finding the Fourth Proportional to 600.30, 900.09 and 234.66

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Solution

The fourth proportional to 600.30, 900.09 and 234.66 is: 351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 900.09 = 234.66 : x
  2. Step 2: Convert to fraction form
    600.30/900.09 = 234.66/x
  3. Step 3: Cross multiply
    600.30x = 900.09 × 234.66
  4. Step 4: Simplify right side
    600.30x = 211,215.12
  5. Step 5: Solve for x
    x = 211,215.12/600.30
  6. Step 6: Final answer
    x = 351.85

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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.