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Finding the Fourth Proportional to 343.26, 511.20 and 341.46

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Solution

The fourth proportional to 343.26, 511.20 and 341.46 is: 508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.26 : 511.20 = 341.46 : x
  2. Step 2: Convert to fraction form
    343.26/511.20 = 341.46/x
  3. Step 3: Cross multiply
    343.26x = 511.20 × 341.46
  4. Step 4: Simplify right side
    343.26x = 174,554.35
  5. Step 5: Solve for x
    x = 174,554.35/343.26
  6. Step 6: Final answer
    x = 508.52

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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.