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Finding the Fourth Proportional to 342.82, 471.90 and 259.73

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Solution

The fourth proportional to 342.82, 471.90 and 259.73 is: 357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.82 : 471.90 = 259.73 : x
  2. Step 2: Convert to fraction form
    342.82/471.90 = 259.73/x
  3. Step 3: Cross multiply
    342.82x = 471.90 × 259.73
  4. Step 4: Simplify right side
    342.82x = 122,564.23
  5. Step 5: Solve for x
    x = 122,564.23/342.82
  6. Step 6: Final answer
    x = 357.52

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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.