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Finding the Fourth Proportional to 393.39, 592.43 and 342.65

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Solution

The fourth proportional to 393.39, 592.43 and 342.65 is: 516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.39 : 592.43 = 342.65 : x
  2. Step 2: Convert to fraction form
    393.39/592.43 = 342.65/x
  3. Step 3: Cross multiply
    393.39x = 592.43 × 342.65
  4. Step 4: Simplify right side
    393.39x = 202,993.58
  5. Step 5: Solve for x
    x = 202,993.58/393.39
  6. Step 6: Final answer
    x = 516.01

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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.