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Finding the Fourth Proportional to 404.34, 557.94 and 229.66

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Solution

The fourth proportional to 404.34, 557.94 and 229.66 is: 316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.34 : 557.94 = 229.66 : x
  2. Step 2: Convert to fraction form
    404.34/557.94 = 229.66/x
  3. Step 3: Cross multiply
    404.34x = 557.94 × 229.66
  4. Step 4: Simplify right side
    404.34x = 128,136.50
  5. Step 5: Solve for x
    x = 128,136.50/404.34
  6. Step 6: Final answer
    x = 316.90

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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.