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Finding the Fourth Proportional to 393.39, 588.26 and 345.10

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Solution

The fourth proportional to 393.39, 588.26 and 345.10 is: 516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.39 : 588.26 = 345.10 : x
  2. Step 2: Convert to fraction form
    393.39/588.26 = 345.10/x
  3. Step 3: Cross multiply
    393.39x = 588.26 × 345.10
  4. Step 4: Simplify right side
    393.39x = 203,008.53
  5. Step 5: Solve for x
    x = 203,008.53/393.39
  6. Step 6: Final answer
    x = 516.05

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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.