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Finding the Fourth Proportional to 404.01, 604.76 and 265.03

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Solution

The fourth proportional to 404.01, 604.76 and 265.03 is: 396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.01 : 604.76 = 265.03 : x
  2. Step 2: Convert to fraction form
    404.01/604.76 = 265.03/x
  3. Step 3: Cross multiply
    404.01x = 604.76 × 265.03
  4. Step 4: Simplify right side
    404.01x = 160,276.71
  5. Step 5: Solve for x
    x = 160,276.71/404.01
  6. Step 6: Final answer
    x = 396.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.