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Finding the Fourth Proportional to 217.86, 328.18 and 215.04

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Solution

The fourth proportional to 217.86, 328.18 and 215.04 is: 323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.86 : 328.18 = 215.04 : x
  2. Step 2: Convert to fraction form
    217.86/328.18 = 215.04/x
  3. Step 3: Cross multiply
    217.86x = 328.18 × 215.04
  4. Step 4: Simplify right side
    217.86x = 70,571.83
  5. Step 5: Solve for x
    x = 70,571.83/217.86
  6. Step 6: Final answer
    x = 323.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.