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Finding the Fourth Proportional to 342.99, 516.42 and 262.53

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Solution

The fourth proportional to 342.99, 516.42 and 262.53 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.99 : 516.42 = 262.53 : x
  2. Step 2: Convert to fraction form
    342.99/516.42 = 262.53/x
  3. Step 3: Cross multiply
    342.99x = 516.42 × 262.53
  4. Step 4: Simplify right side
    342.99x = 135,575.74
  5. Step 5: Solve for x
    x = 135,575.74/342.99
  6. Step 6: Final answer
    x = 395.28

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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.