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Finding the Fourth Proportional to 393.54, 592.94 and 326.53

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Solution

The fourth proportional to 393.54, 592.94 and 326.53 is: 491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.54 : 592.94 = 326.53 : x
  2. Step 2: Convert to fraction form
    393.54/592.94 = 326.53/x
  3. Step 3: Cross multiply
    393.54x = 592.94 × 326.53
  4. Step 4: Simplify right side
    393.54x = 193,612.70
  5. Step 5: Solve for x
    x = 193,612.70/393.54
  6. Step 6: Final answer
    x = 491.98

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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.