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Finding the Fourth Proportional to 258.02, 388.42 and 177.38

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Solution

The fourth proportional to 258.02, 388.42 and 177.38 is: 267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.02 : 388.42 = 177.38 : x
  2. Step 2: Convert to fraction form
    258.02/388.42 = 177.38/x
  3. Step 3: Cross multiply
    258.02x = 388.42 × 177.38
  4. Step 4: Simplify right side
    258.02x = 68,897.94
  5. Step 5: Solve for x
    x = 68,897.94/258.02
  6. Step 6: Final answer
    x = 267.03

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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.