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Finding the Fourth Proportional to 280.76, 420.80 and 118.25

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Solution

The fourth proportional to 280.76, 420.80 and 118.25 is: 177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.76 : 420.80 = 118.25 : x
  2. Step 2: Convert to fraction form
    280.76/420.80 = 118.25/x
  3. Step 3: Cross multiply
    280.76x = 420.80 × 118.25
  4. Step 4: Simplify right side
    280.76x = 49,757.79
  5. Step 5: Solve for x
    x = 49,757.79/280.76
  6. Step 6: Final answer
    x = 177.23

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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.