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Finding the Fourth Proportional to 325.09, 487.17 and 233.50

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Solution

The fourth proportional to 325.09, 487.17 and 233.50 is: 349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.09 : 487.17 = 233.50 : x
  2. Step 2: Convert to fraction form
    325.09/487.17 = 233.50/x
  3. Step 3: Cross multiply
    325.09x = 487.17 × 233.50
  4. Step 4: Simplify right side
    325.09x = 113,754.20
  5. Step 5: Solve for x
    x = 113,754.20/325.09
  6. Step 6: Final answer
    x = 349.92

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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.