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Finding the Fourth Proportional to 342.42, 516.35 and 335.94

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Solution

The fourth proportional to 342.42, 516.35 and 335.94 is: 506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.42 : 516.35 = 335.94 : x
  2. Step 2: Convert to fraction form
    342.42/516.35 = 335.94/x
  3. Step 3: Cross multiply
    342.42x = 516.35 × 335.94
  4. Step 4: Simplify right side
    342.42x = 173,460.94
  5. Step 5: Solve for x
    x = 173,460.94/342.42
  6. Step 6: Final answer
    x = 506.57

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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.