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Finding the Fourth Proportional to 416.00, 574.05 and 229.48

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Solution

The fourth proportional to 416.00, 574.05 and 229.48 is: 316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.00 : 574.05 = 229.48 : x
  2. Step 2: Convert to fraction form
    416.00/574.05 = 229.48/x
  3. Step 3: Cross multiply
    416.00x = 574.05 × 229.48
  4. Step 4: Simplify right side
    416.00x = 131,730.12
  5. Step 5: Solve for x
    x = 131,730.12/416.00
  6. Step 6: Final answer
    x = 316.66

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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.