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Finding the Fourth Proportional to 289.99, 400.14 and 227.83

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Solution

The fourth proportional to 289.99, 400.14 and 227.83 is: 314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.99 : 400.14 = 227.83 : x
  2. Step 2: Convert to fraction form
    289.99/400.14 = 227.83/x
  3. Step 3: Cross multiply
    289.99x = 400.14 × 227.83
  4. Step 4: Simplify right side
    289.99x = 91,162.76
  5. Step 5: Solve for x
    x = 91,162.76/289.99
  6. Step 6: Final answer
    x = 314.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.