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Finding the Fourth Proportional to 310.23, 464.78 and 188.21

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Solution

The fourth proportional to 310.23, 464.78 and 188.21 is: 281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.23 : 464.78 = 188.21 : x
  2. Step 2: Convert to fraction form
    310.23/464.78 = 188.21/x
  3. Step 3: Cross multiply
    310.23x = 464.78 × 188.21
  4. Step 4: Simplify right side
    310.23x = 87,472.98
  5. Step 5: Solve for x
    x = 87,472.98/310.23
  6. Step 6: Final answer
    x = 281.96

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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.