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Finding the Fourth Proportional to 253.22, 349.65 and 194.90

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Solution

The fourth proportional to 253.22, 349.65 and 194.90 is: 269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.22 : 349.65 = 194.90 : x
  2. Step 2: Convert to fraction form
    253.22/349.65 = 194.90/x
  3. Step 3: Cross multiply
    253.22x = 349.65 × 194.90
  4. Step 4: Simplify right side
    253.22x = 68,146.79
  5. Step 5: Solve for x
    x = 68,146.79/253.22
  6. Step 6: Final answer
    x = 269.12

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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.