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Finding the Fourth Proportional to 343.96, 511.67 and 340.48

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Solution

The fourth proportional to 343.96, 511.67 and 340.48 is: 506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.96 : 511.67 = 340.48 : x
  2. Step 2: Convert to fraction form
    343.96/511.67 = 340.48/x
  3. Step 3: Cross multiply
    343.96x = 511.67 × 340.48
  4. Step 4: Simplify right side
    343.96x = 174,213.40
  5. Step 5: Solve for x
    x = 174,213.40/343.96
  6. Step 6: Final answer
    x = 506.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.