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Finding the Fourth Proportional to 305.28, 459.71 and 224.68

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Solution

The fourth proportional to 305.28, 459.71 and 224.68 is: 338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.28 : 459.71 = 224.68 : x
  2. Step 2: Convert to fraction form
    305.28/459.71 = 224.68/x
  3. Step 3: Cross multiply
    305.28x = 459.71 × 224.68
  4. Step 4: Simplify right side
    305.28x = 103,287.64
  5. Step 5: Solve for x
    x = 103,287.64/305.28
  6. Step 6: Final answer
    x = 338.34

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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.