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Finding the Fourth Proportional to 267.99, 404.05 and 214.53

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Solution

The fourth proportional to 267.99, 404.05 and 214.53 is: 323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.99 : 404.05 = 214.53 : x
  2. Step 2: Convert to fraction form
    267.99/404.05 = 214.53/x
  3. Step 3: Cross multiply
    267.99x = 404.05 × 214.53
  4. Step 4: Simplify right side
    267.99x = 86,678.79
  5. Step 5: Solve for x
    x = 86,678.79/267.99
  6. Step 6: Final answer
    x = 323.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.