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Finding the Fourth Proportional to 325.09, 487.74 and 142.63

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Solution

The fourth proportional to 325.09, 487.74 and 142.63 is: 213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.09 : 487.74 = 142.63 : x
  2. Step 2: Convert to fraction form
    325.09/487.74 = 142.63/x
  3. Step 3: Cross multiply
    325.09x = 487.74 × 142.63
  4. Step 4: Simplify right side
    325.09x = 69,566.36
  5. Step 5: Solve for x
    x = 69,566.36/325.09
  6. Step 6: Final answer
    x = 213.99

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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.