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Finding the Fourth Proportional to 259, 357.40 and 142.56

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Solution

The fourth proportional to 259, 357.40 and 142.56 is: 196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 357.40 = 142.56 : x
  2. Step 2: Convert to fraction form
    259/357.40 = 142.56/x
  3. Step 3: Cross multiply
    259x = 357.40 × 142.56
  4. Step 4: Simplify right side
    259x = 50,950.94
  5. Step 5: Solve for x
    x = 50,950.94/259
  6. Step 6: Final answer
    x = 196.72

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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.