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Finding the Fourth Proportional to 404.36, 561.76 and 400.56

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Solution

The fourth proportional to 404.36, 561.76 and 400.56 is: 556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.36 : 561.76 = 400.56 : x
  2. Step 2: Convert to fraction form
    404.36/561.76 = 400.56/x
  3. Step 3: Cross multiply
    404.36x = 561.76 × 400.56
  4. Step 4: Simplify right side
    404.36x = 225,015.48
  5. Step 5: Solve for x
    x = 225,015.48/404.36
  6. Step 6: Final answer
    x = 556.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.