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Finding the Fourth Proportional to 256.89, 386.73 and 199.45

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Solution

The fourth proportional to 256.89, 386.73 and 199.45 is: 300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.89 : 386.73 = 199.45 : x
  2. Step 2: Convert to fraction form
    256.89/386.73 = 199.45/x
  3. Step 3: Cross multiply
    256.89x = 386.73 × 199.45
  4. Step 4: Simplify right side
    256.89x = 77,133.30
  5. Step 5: Solve for x
    x = 77,133.30/256.89
  6. Step 6: Final answer
    x = 300.26

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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.