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Finding the Fourth Proportional to 269.52, 369.52 and 256.76

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Solution

The fourth proportional to 269.52, 369.52 and 256.76 is: 352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.52 : 369.52 = 256.76 : x
  2. Step 2: Convert to fraction form
    269.52/369.52 = 256.76/x
  3. Step 3: Cross multiply
    269.52x = 369.52 × 256.76
  4. Step 4: Simplify right side
    269.52x = 94,877.96
  5. Step 5: Solve for x
    x = 94,877.96/269.52
  6. Step 6: Final answer
    x = 352.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.