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Finding the Fourth Proportional to 386.97, 533.95 and 256.15

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Solution

The fourth proportional to 386.97, 533.95 and 256.15 is: 353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.97 : 533.95 = 256.15 : x
  2. Step 2: Convert to fraction form
    386.97/533.95 = 256.15/x
  3. Step 3: Cross multiply
    386.97x = 533.95 × 256.15
  4. Step 4: Simplify right side
    386.97x = 136,771.29
  5. Step 5: Solve for x
    x = 136,771.29/386.97
  6. Step 6: Final answer
    x = 353.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.