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Finding the Fourth Proportional to 280.22, 420.39 and 97.61

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Solution

The fourth proportional to 280.22, 420.39 and 97.61 is: 146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.22 : 420.39 = 97.61 : x
  2. Step 2: Convert to fraction form
    280.22/420.39 = 97.61/x
  3. Step 3: Cross multiply
    280.22x = 420.39 × 97.61
  4. Step 4: Simplify right side
    280.22x = 41,032.17
  5. Step 5: Solve for x
    x = 41,032.17/280.22
  6. Step 6: Final answer
    x = 146.43

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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.