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Finding the Fourth Proportional to 340.34, 512.36 and 232.82

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Solution

The fourth proportional to 340.34, 512.36 and 232.82 is: 350.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.34 : 512.36 = 232.82 : x
  2. Step 2: Convert to fraction form
    340.34/512.36 = 232.82/x
  3. Step 3: Cross multiply
    340.34x = 512.36 × 232.82
  4. Step 4: Simplify right side
    340.34x = 119,287.66
  5. Step 5: Solve for x
    x = 119,287.66/340.34
  6. Step 6: Final answer
    x = 350.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.