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Finding the Fourth Proportional to 267.54, 368.82 and 188.79

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Solution

The fourth proportional to 267.54, 368.82 and 188.79 is: 260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.54 : 368.82 = 188.79 : x
  2. Step 2: Convert to fraction form
    267.54/368.82 = 188.79/x
  3. Step 3: Cross multiply
    267.54x = 368.82 × 188.79
  4. Step 4: Simplify right side
    267.54x = 69,629.53
  5. Step 5: Solve for x
    x = 69,629.53/267.54
  6. Step 6: Final answer
    x = 260.26

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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.