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Finding the Fourth Proportional to 270.49, 405.66 and 192.81

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Solution

The fourth proportional to 270.49, 405.66 and 192.81 is: 289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.49 : 405.66 = 192.81 : x
  2. Step 2: Convert to fraction form
    270.49/405.66 = 192.81/x
  3. Step 3: Cross multiply
    270.49x = 405.66 × 192.81
  4. Step 4: Simplify right side
    270.49x = 78,213.04
  5. Step 5: Solve for x
    x = 78,213.04/270.49
  6. Step 6: Final answer
    x = 289.15

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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.