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Finding the Fourth Proportional to 340.59, 512.75 and 233.07

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Solution

The fourth proportional to 340.59, 512.75 and 233.07 is: 350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.59 : 512.75 = 233.07 : x
  2. Step 2: Convert to fraction form
    340.59/512.75 = 233.07/x
  3. Step 3: Cross multiply
    340.59x = 512.75 × 233.07
  4. Step 4: Simplify right side
    340.59x = 119,505.48
  5. Step 5: Solve for x
    x = 119,505.48/340.59
  6. Step 6: Final answer
    x = 350.88

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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.