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Finding the Fourth Proportional to 395.14, 592.89 and 178.69

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Solution

The fourth proportional to 395.14, 592.89 and 178.69 is: 268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.14 : 592.89 = 178.69 : x
  2. Step 2: Convert to fraction form
    395.14/592.89 = 178.69/x
  3. Step 3: Cross multiply
    395.14x = 592.89 × 178.69
  4. Step 4: Simplify right side
    395.14x = 105,943.51
  5. Step 5: Solve for x
    x = 105,943.51/395.14
  6. Step 6: Final answer
    x = 268.12

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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.