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Finding the Fourth Proportional to 341.46, 512.30 and 135.97

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Solution

The fourth proportional to 341.46, 512.30 and 135.97 is: 204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.46 : 512.30 = 135.97 : x
  2. Step 2: Convert to fraction form
    341.46/512.30 = 135.97/x
  3. Step 3: Cross multiply
    341.46x = 512.30 × 135.97
  4. Step 4: Simplify right side
    341.46x = 69,657.55
  5. Step 5: Solve for x
    x = 69,657.55/341.46
  6. Step 6: Final answer
    x = 204.00

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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.