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Finding the Fourth Proportional to 216.30, 322.17 and 215.32

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Solution

The fourth proportional to 216.30, 322.17 and 215.32 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.30 : 322.17 = 215.32 : x
  2. Step 2: Convert to fraction form
    216.30/322.17 = 215.32/x
  3. Step 3: Cross multiply
    216.30x = 322.17 × 215.32
  4. Step 4: Simplify right side
    216.30x = 69,369.64
  5. Step 5: Solve for x
    x = 69,369.64/216.30
  6. Step 6: Final answer
    x = 320.71

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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.