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Finding the Fourth Proportional to 280.54, 420.81 and 223.90

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Solution

The fourth proportional to 280.54, 420.81 and 223.90 is: 335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.54 : 420.81 = 223.90 : x
  2. Step 2: Convert to fraction form
    280.54/420.81 = 223.90/x
  3. Step 3: Cross multiply
    280.54x = 420.81 × 223.90
  4. Step 4: Simplify right side
    280.54x = 94,219.36
  5. Step 5: Solve for x
    x = 94,219.36/280.54
  6. Step 6: Final answer
    x = 335.85

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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.