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Finding the Fourth Proportional to 217.36, 323.48 and 215.10

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Solution

The fourth proportional to 217.36, 323.48 and 215.10 is: 320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.36 : 323.48 = 215.10 : x
  2. Step 2: Convert to fraction form
    217.36/323.48 = 215.10/x
  3. Step 3: Cross multiply
    217.36x = 323.48 × 215.10
  4. Step 4: Simplify right side
    217.36x = 69,580.55
  5. Step 5: Solve for x
    x = 69,580.55/217.36
  6. Step 6: Final answer
    x = 320.12

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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.