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Finding the Fourth Proportional to 404.09, 557.65 and 238.31

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Solution

The fourth proportional to 404.09, 557.65 and 238.31 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.09 : 557.65 = 238.31 : x
  2. Step 2: Convert to fraction form
    404.09/557.65 = 238.31/x
  3. Step 3: Cross multiply
    404.09x = 557.65 × 238.31
  4. Step 4: Simplify right side
    404.09x = 132,889.74
  5. Step 5: Solve for x
    x = 132,889.74/404.09
  6. Step 6: Final answer
    x = 328.86

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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.