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Finding the Fourth Proportional to 309.73, 464.90 and 188.23

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Solution

The fourth proportional to 309.73, 464.90 and 188.23 is: 282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.73 : 464.90 = 188.23 : x
  2. Step 2: Convert to fraction form
    309.73/464.90 = 188.23/x
  3. Step 3: Cross multiply
    309.73x = 464.90 × 188.23
  4. Step 4: Simplify right side
    309.73x = 87,508.13
  5. Step 5: Solve for x
    x = 87,508.13/309.73
  6. Step 6: Final answer
    x = 282.53

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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.