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Finding the Fourth Proportional to 253.10, 349.31 and 164.68

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Solution

The fourth proportional to 253.10, 349.31 and 164.68 is: 227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.10 : 349.31 = 164.68 : x
  2. Step 2: Convert to fraction form
    253.10/349.31 = 164.68/x
  3. Step 3: Cross multiply
    253.10x = 349.31 × 164.68
  4. Step 4: Simplify right side
    253.10x = 57,523.91
  5. Step 5: Solve for x
    x = 57,523.91/253.10
  6. Step 6: Final answer
    x = 227.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.