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Finding the Fourth Proportional to 416.05, 574.22 and 346.02

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Solution

The fourth proportional to 416.05, 574.22 and 346.02 is: 477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.05 : 574.22 = 346.02 : x
  2. Step 2: Convert to fraction form
    416.05/574.22 = 346.02/x
  3. Step 3: Cross multiply
    416.05x = 574.22 × 346.02
  4. Step 4: Simplify right side
    416.05x = 198,691.60
  5. Step 5: Solve for x
    x = 198,691.60/416.05
  6. Step 6: Final answer
    x = 477.57

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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.