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Finding the Fourth Proportional to 269.56, 406.69 and 256.06

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Solution

The fourth proportional to 269.56, 406.69 and 256.06 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.56 : 406.69 = 256.06 : x
  2. Step 2: Convert to fraction form
    269.56/406.69 = 256.06/x
  3. Step 3: Cross multiply
    269.56x = 406.69 × 256.06
  4. Step 4: Simplify right side
    269.56x = 104,137.04
  5. Step 5: Solve for x
    x = 104,137.04/269.56
  6. Step 6: Final answer
    x = 386.32

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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.