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Finding the Fourth Proportional to 216.15, 322.32 and 205.17

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Solution

The fourth proportional to 216.15, 322.32 and 205.17 is: 305.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.15 : 322.32 = 205.17 : x
  2. Step 2: Convert to fraction form
    216.15/322.32 = 205.17/x
  3. Step 3: Cross multiply
    216.15x = 322.32 × 205.17
  4. Step 4: Simplify right side
    216.15x = 66,130.39
  5. Step 5: Solve for x
    x = 66,130.39/216.15
  6. Step 6: Final answer
    x = 305.95

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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.