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Finding the Fourth Proportional to 325.00, 487.47 and 142.39

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Solution

The fourth proportional to 325.00, 487.47 and 142.39 is: 213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.00 : 487.47 = 142.39 : x
  2. Step 2: Convert to fraction form
    325.00/487.47 = 142.39/x
  3. Step 3: Cross multiply
    325.00x = 487.47 × 142.39
  4. Step 4: Simplify right side
    325.00x = 69,411.08
  5. Step 5: Solve for x
    x = 69,411.08/325.00
  6. Step 6: Final answer
    x = 213.58

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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.