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Finding the Fourth Proportional to 592.20, 816.96 and 393.12

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Solution

The fourth proportional to 592.20, 816.96 and 393.12 is: 542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.20 : 816.96 = 393.12 : x
  2. Step 2: Convert to fraction form
    592.20/816.96 = 393.12/x
  3. Step 3: Cross multiply
    592.20x = 816.96 × 393.12
  4. Step 4: Simplify right side
    592.20x = 321,163.32
  5. Step 5: Solve for x
    x = 321,163.32/592.20
  6. Step 6: Final answer
    x = 542.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.