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Finding the Fourth Proportional to 325.74, 488.61 and 133.37

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Solution

The fourth proportional to 325.74, 488.61 and 133.37 is: 200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.74 : 488.61 = 133.37 : x
  2. Step 2: Convert to fraction form
    325.74/488.61 = 133.37/x
  3. Step 3: Cross multiply
    325.74x = 488.61 × 133.37
  4. Step 4: Simplify right side
    325.74x = 65,165.92
  5. Step 5: Solve for x
    x = 65,165.92/325.74
  6. Step 6: Final answer
    x = 200.06

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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.