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Finding the Fourth Proportional to 341.68, 511.26 and 204.82

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Solution

The fourth proportional to 341.68, 511.26 and 204.82 is: 306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.68 : 511.26 = 204.82 : x
  2. Step 2: Convert to fraction form
    341.68/511.26 = 204.82/x
  3. Step 3: Cross multiply
    341.68x = 511.26 × 204.82
  4. Step 4: Simplify right side
    341.68x = 104,716.27
  5. Step 5: Solve for x
    x = 104,716.27/341.68
  6. Step 6: Final answer
    x = 306.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.