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Finding the Fourth Proportional to 341.95, 512.98 and 136.54

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Solution

The fourth proportional to 341.95, 512.98 and 136.54 is: 204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.95 : 512.98 = 136.54 : x
  2. Step 2: Convert to fraction form
    341.95/512.98 = 136.54/x
  3. Step 3: Cross multiply
    341.95x = 512.98 × 136.54
  4. Step 4: Simplify right side
    341.95x = 70,042.29
  5. Step 5: Solve for x
    x = 70,042.29/341.95
  6. Step 6: Final answer
    x = 204.83

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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.