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Finding the Fourth Proportional to 253.49, 349.90 and 160.42

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Solution

The fourth proportional to 253.49, 349.90 and 160.42 is: 221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.49 : 349.90 = 160.42 : x
  2. Step 2: Convert to fraction form
    253.49/349.90 = 160.42/x
  3. Step 3: Cross multiply
    253.49x = 349.90 × 160.42
  4. Step 4: Simplify right side
    253.49x = 56,130.96
  5. Step 5: Solve for x
    x = 56,130.96/253.49
  6. Step 6: Final answer
    x = 221.43

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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.