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Finding the Fourth Proportional to 217.37, 325.85 and 176.87

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Solution

The fourth proportional to 217.37, 325.85 and 176.87 is: 265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.37 : 325.85 = 176.87 : x
  2. Step 2: Convert to fraction form
    217.37/325.85 = 176.87/x
  3. Step 3: Cross multiply
    217.37x = 325.85 × 176.87
  4. Step 4: Simplify right side
    217.37x = 57,630.58
  5. Step 5: Solve for x
    x = 57,630.58/217.37
  6. Step 6: Final answer
    x = 265.13

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