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Finding the Fourth Proportional to 343.82, 511.92 and 342.20

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Solution

The fourth proportional to 343.82, 511.92 and 342.20 is: 509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.82 : 511.92 = 342.20 : x
  2. Step 2: Convert to fraction form
    343.82/511.92 = 342.20/x
  3. Step 3: Cross multiply
    343.82x = 511.92 × 342.20
  4. Step 4: Simplify right side
    343.82x = 175,179.02
  5. Step 5: Solve for x
    x = 175,179.02/343.82
  6. Step 6: Final answer
    x = 509.51

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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.