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Finding the Fourth Proportional to 217.52, 327.88 and 202.64

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Solution

The fourth proportional to 217.52, 327.88 and 202.64 is: 305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.52 : 327.88 = 202.64 : x
  2. Step 2: Convert to fraction form
    217.52/327.88 = 202.64/x
  3. Step 3: Cross multiply
    217.52x = 327.88 × 202.64
  4. Step 4: Simplify right side
    217.52x = 66,440.22
  5. Step 5: Solve for x
    x = 66,440.22/217.52
  6. Step 6: Final answer
    x = 305.45

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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.