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Finding the Fourth Proportional to 404.34, 557.99 and 229.69

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Solution

The fourth proportional to 404.34, 557.99 and 229.69 is: 316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.34 : 557.99 = 229.69 : x
  2. Step 2: Convert to fraction form
    404.34/557.99 = 229.69/x
  3. Step 3: Cross multiply
    404.34x = 557.99 × 229.69
  4. Step 4: Simplify right side
    404.34x = 128,161.99
  5. Step 5: Solve for x
    x = 128,161.99/404.34
  6. Step 6: Final answer
    x = 316.96

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