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Finding the Fourth Proportional to 404.03, 557.46 and 238.25

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Solution

The fourth proportional to 404.03, 557.46 and 238.25 is: 328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.03 : 557.46 = 238.25 : x
  2. Step 2: Convert to fraction form
    404.03/557.46 = 238.25/x
  3. Step 3: Cross multiply
    404.03x = 557.46 × 238.25
  4. Step 4: Simplify right side
    404.03x = 132,812.06
  5. Step 5: Solve for x
    x = 132,812.06/404.03
  6. Step 6: Final answer
    x = 328.72

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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.