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Finding the Fourth Proportional to 280.08, 419.82 and 150

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Solution

The fourth proportional to 280.08, 419.82 and 150 is: 224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.08 : 419.82 = 150 : x
  2. Step 2: Convert to fraction form
    280.08/419.82 = 150/x
  3. Step 3: Cross multiply
    280.08x = 419.82 × 150
  4. Step 4: Simplify right side
    280.08x = 62,973
  5. Step 5: Solve for x
    x = 62,973/280.08
  6. Step 6: Final answer
    x = 224.84

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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.