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Finding the Fourth Proportional to 342.35, 516.05 and 334.15

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Solution

The fourth proportional to 342.35, 516.05 and 334.15 is: 503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.35 : 516.05 = 334.15 : x
  2. Step 2: Convert to fraction form
    342.35/516.05 = 334.15/x
  3. Step 3: Cross multiply
    342.35x = 516.05 × 334.15
  4. Step 4: Simplify right side
    342.35x = 172,438.11
  5. Step 5: Solve for x
    x = 172,438.11/342.35
  6. Step 6: Final answer
    x = 503.69

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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.