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Finding the Fourth Proportional to 253.68, 349.96 and 160.36

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Solution

The fourth proportional to 253.68, 349.96 and 160.36 is: 221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.68 : 349.96 = 160.36 : x
  2. Step 2: Convert to fraction form
    253.68/349.96 = 160.36/x
  3. Step 3: Cross multiply
    253.68x = 349.96 × 160.36
  4. Step 4: Simplify right side
    253.68x = 56,119.59
  5. Step 5: Solve for x
    x = 56,119.59/253.68
  6. Step 6: Final answer
    x = 221.22

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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.