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Finding the Fourth Proportional to 193.12, 267.88 and 187.60

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Solution

The fourth proportional to 193.12, 267.88 and 187.60 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.12 : 267.88 = 187.60 : x
  2. Step 2: Convert to fraction form
    193.12/267.88 = 187.60/x
  3. Step 3: Cross multiply
    193.12x = 267.88 × 187.60
  4. Step 4: Simplify right side
    193.12x = 50,254.29
  5. Step 5: Solve for x
    x = 50,254.29/193.12
  6. Step 6: Final answer
    x = 260.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.