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Finding the Fourth Proportional to 270.18, 404.76 and 212.13

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Solution

The fourth proportional to 270.18, 404.76 and 212.13 is: 317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.18 : 404.76 = 212.13 : x
  2. Step 2: Convert to fraction form
    270.18/404.76 = 212.13/x
  3. Step 3: Cross multiply
    270.18x = 404.76 × 212.13
  4. Step 4: Simplify right side
    270.18x = 85,861.74
  5. Step 5: Solve for x
    x = 85,861.74/270.18
  6. Step 6: Final answer
    x = 317.79

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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.