Home / 280.24-420.37-95.15

Finding the Fourth Proportional to 280.24, 420.37 and 95.15

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Solution

The fourth proportional to 280.24, 420.37 and 95.15 is: 142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.24 : 420.37 = 95.15 : x
  2. Step 2: Convert to fraction form
    280.24/420.37 = 95.15/x
  3. Step 3: Cross multiply
    280.24x = 420.37 × 95.15
  4. Step 4: Simplify right side
    280.24x = 39,998.21
  5. Step 5: Solve for x
    x = 39,998.21/280.24
  6. Step 6: Final answer
    x = 142.73

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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.