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Finding the Fourth Proportional to 280.98, 421.22 and 118.78

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Solution

The fourth proportional to 280.98, 421.22 and 118.78 is: 178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.98 : 421.22 = 118.78 : x
  2. Step 2: Convert to fraction form
    280.98/421.22 = 118.78/x
  3. Step 3: Cross multiply
    280.98x = 421.22 × 118.78
  4. Step 4: Simplify right side
    280.98x = 50,032.51
  5. Step 5: Solve for x
    x = 50,032.51/280.98
  6. Step 6: Final answer
    x = 178.06

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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.