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Finding the Fourth Proportional to 404.07, 557.63 and 238.33

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Solution

The fourth proportional to 404.07, 557.63 and 238.33 is: 328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.07 : 557.63 = 238.33 : x
  2. Step 2: Convert to fraction form
    404.07/557.63 = 238.33/x
  3. Step 3: Cross multiply
    404.07x = 557.63 × 238.33
  4. Step 4: Simplify right side
    404.07x = 132,895.98
  5. Step 5: Solve for x
    x = 132,895.98/404.07
  6. Step 6: Final answer
    x = 328.89

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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.