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Finding the Fourth Proportional to 280.83, 421.24 and 198.23

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Solution

The fourth proportional to 280.83, 421.24 and 198.23 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.83 : 421.24 = 198.23 : x
  2. Step 2: Convert to fraction form
    280.83/421.24 = 198.23/x
  3. Step 3: Cross multiply
    280.83x = 421.24 × 198.23
  4. Step 4: Simplify right side
    280.83x = 83,502.41
  5. Step 5: Solve for x
    x = 83,502.41/280.83
  6. Step 6: Final answer
    x = 297.34

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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.