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Finding the Fourth Proportional to 217.43, 325.35 and 187.35

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Solution

The fourth proportional to 217.43, 325.35 and 187.35 is: 280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.43 : 325.35 = 187.35 : x
  2. Step 2: Convert to fraction form
    217.43/325.35 = 187.35/x
  3. Step 3: Cross multiply
    217.43x = 325.35 × 187.35
  4. Step 4: Simplify right side
    217.43x = 60,954.32
  5. Step 5: Solve for x
    x = 60,954.32/217.43
  6. Step 6: Final answer
    x = 280.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.