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Finding the Fourth Proportional to 325.44, 487.74 and 217.10

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Solution

The fourth proportional to 325.44, 487.74 and 217.10 is: 325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.44 : 487.74 = 217.10 : x
  2. Step 2: Convert to fraction form
    325.44/487.74 = 217.10/x
  3. Step 3: Cross multiply
    325.44x = 487.74 × 217.10
  4. Step 4: Simplify right side
    325.44x = 105,888.35
  5. Step 5: Solve for x
    x = 105,888.35/325.44
  6. Step 6: Final answer
    x = 325.37

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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.