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Finding the Fourth Proportional to 217.04, 323.36 and 203.07

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Solution

The fourth proportional to 217.04, 323.36 and 203.07 is: 302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.04 : 323.36 = 203.07 : x
  2. Step 2: Convert to fraction form
    217.04/323.36 = 203.07/x
  3. Step 3: Cross multiply
    217.04x = 323.36 × 203.07
  4. Step 4: Simplify right side
    217.04x = 65,665.22
  5. Step 5: Solve for x
    x = 65,665.22/217.04
  6. Step 6: Final answer
    x = 302.56

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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.