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Finding the Fourth Proportional to 280.45, 419.78 and 150.13

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Solution

The fourth proportional to 280.45, 419.78 and 150.13 is: 224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.45 : 419.78 = 150.13 : x
  2. Step 2: Convert to fraction form
    280.45/419.78 = 150.13/x
  3. Step 3: Cross multiply
    280.45x = 419.78 × 150.13
  4. Step 4: Simplify right side
    280.45x = 63,018.72
  5. Step 5: Solve for x
    x = 63,018.72/280.45
  6. Step 6: Final answer
    x = 224.71

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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.