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Finding the Fourth Proportional to 394.91, 592.66 and 178.64

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Solution

The fourth proportional to 394.91, 592.66 and 178.64 is: 268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.91 : 592.66 = 178.64 : x
  2. Step 2: Convert to fraction form
    394.91/592.66 = 178.64/x
  3. Step 3: Cross multiply
    394.91x = 592.66 × 178.64
  4. Step 4: Simplify right side
    394.91x = 105,869.82
  5. Step 5: Solve for x
    x = 105,869.82/394.91
  6. Step 6: Final answer
    x = 268.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.