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Finding the Fourth Proportional to 404.46, 603.56 and 360.78

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Solution

The fourth proportional to 404.46, 603.56 and 360.78 is: 538.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.46 : 603.56 = 360.78 : x
  2. Step 2: Convert to fraction form
    404.46/603.56 = 360.78/x
  3. Step 3: Cross multiply
    404.46x = 603.56 × 360.78
  4. Step 4: Simplify right side
    404.46x = 217,749.36
  5. Step 5: Solve for x
    x = 217,749.36/404.46
  6. Step 6: Final answer
    x = 538.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.