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Finding the Fourth Proportional to 341.64, 508.14 and 331.38

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Solution

The fourth proportional to 341.64, 508.14 and 331.38 is: 492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.64 : 508.14 = 331.38 : x
  2. Step 2: Convert to fraction form
    341.64/508.14 = 331.38/x
  3. Step 3: Cross multiply
    341.64x = 508.14 × 331.38
  4. Step 4: Simplify right side
    341.64x = 168,387.43
  5. Step 5: Solve for x
    x = 168,387.43/341.64
  6. Step 6: Final answer
    x = 492.88

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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.