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Finding the Fourth Proportional to 256.47, 386.07 and 198.99

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Solution

The fourth proportional to 256.47, 386.07 and 198.99 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.47 : 386.07 = 198.99 : x
  2. Step 2: Convert to fraction form
    256.47/386.07 = 198.99/x
  3. Step 3: Cross multiply
    256.47x = 386.07 × 198.99
  4. Step 4: Simplify right side
    256.47x = 76,824.07
  5. Step 5: Solve for x
    x = 76,824.07/256.47
  6. Step 6: Final answer
    x = 299.54

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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.