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Finding the Fourth Proportional to 280.55, 420.01 and 208.73

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Solution

The fourth proportional to 280.55, 420.01 and 208.73 is: 312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.55 : 420.01 = 208.73 : x
  2. Step 2: Convert to fraction form
    280.55/420.01 = 208.73/x
  3. Step 3: Cross multiply
    280.55x = 420.01 × 208.73
  4. Step 4: Simplify right side
    280.55x = 87,668.69
  5. Step 5: Solve for x
    x = 87,668.69/280.55
  6. Step 6: Final answer
    x = 312.49

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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.