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Finding the Fourth Proportional to 309.46, 426.93 and 230.64

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Solution

The fourth proportional to 309.46, 426.93 and 230.64 is: 318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 426.93 = 230.64 : x
  2. Step 2: Convert to fraction form
    309.46/426.93 = 230.64/x
  3. Step 3: Cross multiply
    309.46x = 426.93 × 230.64
  4. Step 4: Simplify right side
    309.46x = 98,467.14
  5. Step 5: Solve for x
    x = 98,467.14/309.46
  6. Step 6: Final answer
    x = 318.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.