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Finding the Fourth Proportional to 280.73, 420.42 and 219.35

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Solution

The fourth proportional to 280.73, 420.42 and 219.35 is: 328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.73 : 420.42 = 219.35 : x
  2. Step 2: Convert to fraction form
    280.73/420.42 = 219.35/x
  3. Step 3: Cross multiply
    280.73x = 420.42 × 219.35
  4. Step 4: Simplify right side
    280.73x = 92,219.13
  5. Step 5: Solve for x
    x = 92,219.13/280.73
  6. Step 6: Final answer
    x = 328.50

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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.