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Finding the Fourth Proportional to 416.51, 574.75 and 229.99

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Solution

The fourth proportional to 416.51, 574.75 and 229.99 is: 317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.51 : 574.75 = 229.99 : x
  2. Step 2: Convert to fraction form
    416.51/574.75 = 229.99/x
  3. Step 3: Cross multiply
    416.51x = 574.75 × 229.99
  4. Step 4: Simplify right side
    416.51x = 132,186.75
  5. Step 5: Solve for x
    x = 132,186.75/416.51
  6. Step 6: Final answer
    x = 317.37

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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.