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Finding the Fourth Proportional to 603, 905.22 and 295.11

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Solution

The fourth proportional to 603, 905.22 and 295.11 is: 443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    603 : 905.22 = 295.11 : x
  2. Step 2: Convert to fraction form
    603/905.22 = 295.11/x
  3. Step 3: Cross multiply
    603x = 905.22 × 295.11
  4. Step 4: Simplify right side
    603x = 267,139.47
  5. Step 5: Solve for x
    x = 267,139.47/603
  6. Step 6: Final answer
    x = 443.02

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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.