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Finding the Fourth Proportional to 309.71, 464.47 and 114.73

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Solution

The fourth proportional to 309.71, 464.47 and 114.73 is: 172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.71 : 464.47 = 114.73 : x
  2. Step 2: Convert to fraction form
    309.71/464.47 = 114.73/x
  3. Step 3: Cross multiply
    309.71x = 464.47 × 114.73
  4. Step 4: Simplify right side
    309.71x = 53,288.64
  5. Step 5: Solve for x
    x = 53,288.64/309.71
  6. Step 6: Final answer
    x = 172.06

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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.