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Finding the Fourth Proportional to 343.53, 513.11 and 341.73

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Solution

The fourth proportional to 343.53, 513.11 and 341.73 is: 510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.53 : 513.11 = 341.73 : x
  2. Step 2: Convert to fraction form
    343.53/513.11 = 341.73/x
  3. Step 3: Cross multiply
    343.53x = 513.11 × 341.73
  4. Step 4: Simplify right side
    343.53x = 175,345.93
  5. Step 5: Solve for x
    x = 175,345.93/343.53
  6. Step 6: Final answer
    x = 510.42

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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.