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Finding the Fourth Proportional to 309.81, 464.60 and 114.78

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Solution

The fourth proportional to 309.81, 464.60 and 114.78 is: 172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.81 : 464.60 = 114.78 : x
  2. Step 2: Convert to fraction form
    309.81/464.60 = 114.78/x
  3. Step 3: Cross multiply
    309.81x = 464.60 × 114.78
  4. Step 4: Simplify right side
    309.81x = 53,326.21
  5. Step 5: Solve for x
    x = 53,326.21/309.81
  6. Step 6: Final answer
    x = 172.13

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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.