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Finding the Fourth Proportional to 325.42, 487.92 and 142.86

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Solution

The fourth proportional to 325.42, 487.92 and 142.86 is: 214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.42 : 487.92 = 142.86 : x
  2. Step 2: Convert to fraction form
    325.42/487.92 = 142.86/x
  3. Step 3: Cross multiply
    325.42x = 487.92 × 142.86
  4. Step 4: Simplify right side
    325.42x = 69,706.62
  5. Step 5: Solve for x
    x = 69,706.62/325.42
  6. Step 6: Final answer
    x = 214.21

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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.