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Finding the Fourth Proportional to 404.08, 557.19 and 319.91

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Solution

The fourth proportional to 404.08, 557.19 and 319.91 is: 441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.08 : 557.19 = 319.91 : x
  2. Step 2: Convert to fraction form
    404.08/557.19 = 319.91/x
  3. Step 3: Cross multiply
    404.08x = 557.19 × 319.91
  4. Step 4: Simplify right side
    404.08x = 178,250.65
  5. Step 5: Solve for x
    x = 178,250.65/404.08
  6. Step 6: Final answer
    x = 441.13

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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.