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Finding the Fourth Proportional to 416, 574.40 and 367.44

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Solution

The fourth proportional to 416, 574.40 and 367.44 is: 507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 574.40 = 367.44 : x
  2. Step 2: Convert to fraction form
    416/574.40 = 367.44/x
  3. Step 3: Cross multiply
    416x = 574.40 × 367.44
  4. Step 4: Simplify right side
    416x = 211,057.54
  5. Step 5: Solve for x
    x = 211,057.54/416
  6. Step 6: Final answer
    x = 507.35

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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.