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Finding the Fourth Proportional to 280.85, 421.35 and 118.42

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Solution

The fourth proportional to 280.85, 421.35 and 118.42 is: 177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.85 : 421.35 = 118.42 : x
  2. Step 2: Convert to fraction form
    280.85/421.35 = 118.42/x
  3. Step 3: Cross multiply
    280.85x = 421.35 × 118.42
  4. Step 4: Simplify right side
    280.85x = 49,895.21
  5. Step 5: Solve for x
    x = 49,895.21/280.85
  6. Step 6: Final answer
    x = 177.66

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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.