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Finding the Fourth Proportional to 217.18, 325.85 and 140.10

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Solution

The fourth proportional to 217.18, 325.85 and 140.10 is: 210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.18 : 325.85 = 140.10 : x
  2. Step 2: Convert to fraction form
    217.18/325.85 = 140.10/x
  3. Step 3: Cross multiply
    217.18x = 325.85 × 140.10
  4. Step 4: Simplify right side
    217.18x = 45,652.81
  5. Step 5: Solve for x
    x = 45,652.81/217.18
  6. Step 6: Final answer
    x = 210.21

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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.