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Finding the Fourth Proportional to 280.32, 420.44 and 106.96

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Solution

The fourth proportional to 280.32, 420.44 and 106.96 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.32 : 420.44 = 106.96 : x
  2. Step 2: Convert to fraction form
    280.32/420.44 = 106.96/x
  3. Step 3: Cross multiply
    280.32x = 420.44 × 106.96
  4. Step 4: Simplify right side
    280.32x = 44,970.26
  5. Step 5: Solve for x
    x = 44,970.26/280.32
  6. Step 6: Final answer
    x = 160.42

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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.