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Finding the Fourth Proportional to 393.45, 592.50 and 342.71

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Solution

The fourth proportional to 393.45, 592.50 and 342.71 is: 516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.45 : 592.50 = 342.71 : x
  2. Step 2: Convert to fraction form
    393.45/592.50 = 342.71/x
  3. Step 3: Cross multiply
    393.45x = 592.50 × 342.71
  4. Step 4: Simplify right side
    393.45x = 203,052.71
  5. Step 5: Solve for x
    x = 203,052.71/393.45
  6. Step 6: Final answer
    x = 516.08

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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.