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Finding the Fourth Proportional to 192.57, 290.41 and 177.53

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Solution

The fourth proportional to 192.57, 290.41 and 177.53 is: 267.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.57 : 290.41 = 177.53 : x
  2. Step 2: Convert to fraction form
    192.57/290.41 = 177.53/x
  3. Step 3: Cross multiply
    192.57x = 290.41 × 177.53
  4. Step 4: Simplify right side
    192.57x = 51,554.59
  5. Step 5: Solve for x
    x = 51,554.59/192.57
  6. Step 6: Final answer
    x = 267.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.