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Finding the Fourth Proportional to 256.47, 386.36 and 192.75

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Solution

The fourth proportional to 256.47, 386.36 and 192.75 is: 290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.47 : 386.36 = 192.75 : x
  2. Step 2: Convert to fraction form
    256.47/386.36 = 192.75/x
  3. Step 3: Cross multiply
    256.47x = 386.36 × 192.75
  4. Step 4: Simplify right side
    256.47x = 74,469.93
  5. Step 5: Solve for x
    x = 74,469.93/256.47
  6. Step 6: Final answer
    x = 290.37

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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.