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Finding the Fourth Proportional to 386.98, 533.80 and 256.17

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Solution

The fourth proportional to 386.98, 533.80 and 256.17 is: 353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.98 : 533.80 = 256.17 : x
  2. Step 2: Convert to fraction form
    386.98/533.80 = 256.17/x
  3. Step 3: Cross multiply
    386.98x = 533.80 × 256.17
  4. Step 4: Simplify right side
    386.98x = 136,743.55
  5. Step 5: Solve for x
    x = 136,743.55/386.98
  6. Step 6: Final answer
    x = 353.36

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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.