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Finding the Fourth Proportional to 309.73, 464.46 and 117.22

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Solution

The fourth proportional to 309.73, 464.46 and 117.22 is: 175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.73 : 464.46 = 117.22 : x
  2. Step 2: Convert to fraction form
    309.73/464.46 = 117.22/x
  3. Step 3: Cross multiply
    309.73x = 464.46 × 117.22
  4. Step 4: Simplify right side
    309.73x = 54,444.00
  5. Step 5: Solve for x
    x = 54,444.00/309.73
  6. Step 6: Final answer
    x = 175.78

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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.