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Finding the Fourth Proportional to 259, 388.53 and 76.42

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Solution

The fourth proportional to 259, 388.53 and 76.42 is: 114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 388.53 = 76.42 : x
  2. Step 2: Convert to fraction form
    259/388.53 = 76.42/x
  3. Step 3: Cross multiply
    259x = 388.53 × 76.42
  4. Step 4: Simplify right side
    259x = 29,691.46
  5. Step 5: Solve for x
    x = 29,691.46/259
  6. Step 6: Final answer
    x = 114.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.