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Finding the Fourth Proportional to 252.08, 347.90 and 193.15

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Solution

The fourth proportional to 252.08, 347.90 and 193.15 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.08 : 347.90 = 193.15 : x
  2. Step 2: Convert to fraction form
    252.08/347.90 = 193.15/x
  3. Step 3: Cross multiply
    252.08x = 347.90 × 193.15
  4. Step 4: Simplify right side
    252.08x = 67,196.35
  5. Step 5: Solve for x
    x = 67,196.35/252.08
  6. Step 6: Final answer
    x = 266.57

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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.