Home / 280.14-420.45-143.27

Finding the Fourth Proportional to 280.14, 420.45 and 143.27

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Solution

The fourth proportional to 280.14, 420.45 and 143.27 is: 215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 420.45 = 143.27 : x
  2. Step 2: Convert to fraction form
    280.14/420.45 = 143.27/x
  3. Step 3: Cross multiply
    280.14x = 420.45 × 143.27
  4. Step 4: Simplify right side
    280.14x = 60,237.87
  5. Step 5: Solve for x
    x = 60,237.87/280.14
  6. Step 6: Final answer
    x = 215.03

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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.