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Finding the Fourth Proportional to 345.34, 516.56 and 319.42

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Solution

The fourth proportional to 345.34, 516.56 and 319.42 is: 477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.34 : 516.56 = 319.42 : x
  2. Step 2: Convert to fraction form
    345.34/516.56 = 319.42/x
  3. Step 3: Cross multiply
    345.34x = 516.56 × 319.42
  4. Step 4: Simplify right side
    345.34x = 164,999.60
  5. Step 5: Solve for x
    x = 164,999.60/345.34
  6. Step 6: Final answer
    x = 477.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.