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Finding the Fourth Proportional to 394.32, 594.54 and 359.76

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Solution

The fourth proportional to 394.32, 594.54 and 359.76 is: 542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.32 : 594.54 = 359.76 : x
  2. Step 2: Convert to fraction form
    394.32/594.54 = 359.76/x
  3. Step 3: Cross multiply
    394.32x = 594.54 × 359.76
  4. Step 4: Simplify right side
    394.32x = 213,891.71
  5. Step 5: Solve for x
    x = 213,891.71/394.32
  6. Step 6: Final answer
    x = 542.43

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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.