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Finding the Fourth Proportional to 305.75, 460.17 and 229.13

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Solution

The fourth proportional to 305.75, 460.17 and 229.13 is: 344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.75 : 460.17 = 229.13 : x
  2. Step 2: Convert to fraction form
    305.75/460.17 = 229.13/x
  3. Step 3: Cross multiply
    305.75x = 460.17 × 229.13
  4. Step 4: Simplify right side
    305.75x = 105,438.18
  5. Step 5: Solve for x
    x = 105,438.18/305.75
  6. Step 6: Final answer
    x = 344.85

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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.