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Finding the Fourth Proportional to 416.28, 574.45 and 229.76

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Solution

The fourth proportional to 416.28, 574.45 and 229.76 is: 317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.28 : 574.45 = 229.76 : x
  2. Step 2: Convert to fraction form
    416.28/574.45 = 229.76/x
  3. Step 3: Cross multiply
    416.28x = 574.45 × 229.76
  4. Step 4: Simplify right side
    416.28x = 131,985.63
  5. Step 5: Solve for x
    x = 131,985.63/416.28
  6. Step 6: Final answer
    x = 317.06

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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.