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Finding the Fourth Proportional to 414.68, 571.87 and 310.02

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Solution

The fourth proportional to 414.68, 571.87 and 310.02 is: 427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 571.87 = 310.02 : x
  2. Step 2: Convert to fraction form
    414.68/571.87 = 310.02/x
  3. Step 3: Cross multiply
    414.68x = 571.87 × 310.02
  4. Step 4: Simplify right side
    414.68x = 177,291.14
  5. Step 5: Solve for x
    x = 177,291.14/414.68
  6. Step 6: Final answer
    x = 427.54

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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.