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Finding the Fourth Proportional to 401.69, 602.81 and 185.27

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Solution

The fourth proportional to 401.69, 602.81 and 185.27 is: 278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.69 : 602.81 = 185.27 : x
  2. Step 2: Convert to fraction form
    401.69/602.81 = 185.27/x
  3. Step 3: Cross multiply
    401.69x = 602.81 × 185.27
  4. Step 4: Simplify right side
    401.69x = 111,684.58
  5. Step 5: Solve for x
    x = 111,684.58/401.69
  6. Step 6: Final answer
    x = 278.04

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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.