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Finding the Fourth Proportional to 269.07, 405.04 and 192.57

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Solution

The fourth proportional to 269.07, 405.04 and 192.57 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.07 : 405.04 = 192.57 : x
  2. Step 2: Convert to fraction form
    269.07/405.04 = 192.57/x
  3. Step 3: Cross multiply
    269.07x = 405.04 × 192.57
  4. Step 4: Simplify right side
    269.07x = 77,997.59
  5. Step 5: Solve for x
    x = 77,997.59/269.07
  6. Step 6: Final answer
    x = 289.88

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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.