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Finding the Fourth Proportional to 343.62, 511.83 and 341.57

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Solution

The fourth proportional to 343.62, 511.83 and 341.57 is: 508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.62 : 511.83 = 341.57 : x
  2. Step 2: Convert to fraction form
    343.62/511.83 = 341.57/x
  3. Step 3: Cross multiply
    343.62x = 511.83 × 341.57
  4. Step 4: Simplify right side
    343.62x = 174,827.05
  5. Step 5: Solve for x
    x = 174,827.05/343.62
  6. Step 6: Final answer
    x = 508.78

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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.