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Finding the Fourth Proportional to 393.84, 592.96 and 286.38

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Solution

The fourth proportional to 393.84, 592.96 and 286.38 is: 431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.84 : 592.96 = 286.38 : x
  2. Step 2: Convert to fraction form
    393.84/592.96 = 286.38/x
  3. Step 3: Cross multiply
    393.84x = 592.96 × 286.38
  4. Step 4: Simplify right side
    393.84x = 169,811.88
  5. Step 5: Solve for x
    x = 169,811.88/393.84
  6. Step 6: Final answer
    x = 431.17

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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.