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Finding the Fourth Proportional to 393.97, 587.63 and 342.21

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Solution

The fourth proportional to 393.97, 587.63 and 342.21 is: 510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.97 : 587.63 = 342.21 : x
  2. Step 2: Convert to fraction form
    393.97/587.63 = 342.21/x
  3. Step 3: Cross multiply
    393.97x = 587.63 × 342.21
  4. Step 4: Simplify right side
    393.97x = 201,092.86
  5. Step 5: Solve for x
    x = 201,092.86/393.97
  6. Step 6: Final answer
    x = 510.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.