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Finding the Fourth Proportional to 270.46, 404.83 and 209.42

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Solution

The fourth proportional to 270.46, 404.83 and 209.42 is: 313.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.46 : 404.83 = 209.42 : x
  2. Step 2: Convert to fraction form
    270.46/404.83 = 209.42/x
  3. Step 3: Cross multiply
    270.46x = 404.83 × 209.42
  4. Step 4: Simplify right side
    270.46x = 84,779.50
  5. Step 5: Solve for x
    x = 84,779.50/270.46
  6. Step 6: Final answer
    x = 313.46

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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.