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Finding the Fourth Proportional to 340.72, 512.94 and 233.19

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Solution

The fourth proportional to 340.72, 512.94 and 233.19 is: 351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.72 : 512.94 = 233.19 : x
  2. Step 2: Convert to fraction form
    340.72/512.94 = 233.19/x
  3. Step 3: Cross multiply
    340.72x = 512.94 × 233.19
  4. Step 4: Simplify right side
    340.72x = 119,612.48
  5. Step 5: Solve for x
    x = 119,612.48/340.72
  6. Step 6: Final answer
    x = 351.06

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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.