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Finding the Fourth Proportional to 414.56, 624.31 and 361.10

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Solution

The fourth proportional to 414.56, 624.31 and 361.10 is: 543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 624.31 = 361.10 : x
  2. Step 2: Convert to fraction form
    414.56/624.31 = 361.10/x
  3. Step 3: Cross multiply
    414.56x = 624.31 × 361.10
  4. Step 4: Simplify right side
    414.56x = 225,438.67
  5. Step 5: Solve for x
    x = 225,438.67/414.56
  6. Step 6: Final answer
    x = 543.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.