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Finding the Fourth Proportional to 193.10, 270.70 and 193.10

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Solution

The fourth proportional to 193.10, 270.70 and 193.10 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.10 : 270.70 = 193.10 : x
  2. Step 2: Convert to fraction form
    193.10/270.70 = 193.10/x
  3. Step 3: Cross multiply
    193.10x = 270.70 × 193.10
  4. Step 4: Simplify right side
    193.10x = 52,272.17
  5. Step 5: Solve for x
    x = 52,272.17/193.10
  6. Step 6: Final answer
    x = 270.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.