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Finding the Fourth Proportional to 342.33, 515.80 and 282.79

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Solution

The fourth proportional to 342.33, 515.80 and 282.79 is: 426.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.33 : 515.80 = 282.79 : x
  2. Step 2: Convert to fraction form
    342.33/515.80 = 282.79/x
  3. Step 3: Cross multiply
    342.33x = 515.80 × 282.79
  4. Step 4: Simplify right side
    342.33x = 145,861.67
  5. Step 5: Solve for x
    x = 145,861.67/342.33
  6. Step 6: Final answer
    x = 426.09

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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.