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Finding the Fourth Proportional to 310.06, 464.89 and 136.63

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Solution

The fourth proportional to 310.06, 464.89 and 136.63 is: 204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.06 : 464.89 = 136.63 : x
  2. Step 2: Convert to fraction form
    310.06/464.89 = 136.63/x
  3. Step 3: Cross multiply
    310.06x = 464.89 × 136.63
  4. Step 4: Simplify right side
    310.06x = 63,517.92
  5. Step 5: Solve for x
    x = 63,517.92/310.06
  6. Step 6: Final answer
    x = 204.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.