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Finding the Fourth Proportional to 341.38, 515.77 and 338.50

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Solution

The fourth proportional to 341.38, 515.77 and 338.50 is: 511.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.38 : 515.77 = 338.50 : x
  2. Step 2: Convert to fraction form
    341.38/515.77 = 338.50/x
  3. Step 3: Cross multiply
    341.38x = 515.77 × 338.50
  4. Step 4: Simplify right side
    341.38x = 174,588.15
  5. Step 5: Solve for x
    x = 174,588.15/341.38
  6. Step 6: Final answer
    x = 511.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.