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Finding the Fourth Proportional to 340.38, 469.92 and 230.43

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Solution

The fourth proportional to 340.38, 469.92 and 230.43 is: 318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.38 : 469.92 = 230.43 : x
  2. Step 2: Convert to fraction form
    340.38/469.92 = 230.43/x
  3. Step 3: Cross multiply
    340.38x = 469.92 × 230.43
  4. Step 4: Simplify right side
    340.38x = 108,283.67
  5. Step 5: Solve for x
    x = 108,283.67/340.38
  6. Step 6: Final answer
    x = 318.13

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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.