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Finding the Fourth Proportional to 243.66, 366.33 and 192.93

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Solution

The fourth proportional to 243.66, 366.33 and 192.93 is: 290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.66 : 366.33 = 192.93 : x
  2. Step 2: Convert to fraction form
    243.66/366.33 = 192.93/x
  3. Step 3: Cross multiply
    243.66x = 366.33 × 192.93
  4. Step 4: Simplify right side
    243.66x = 70,676.05
  5. Step 5: Solve for x
    x = 70,676.05/243.66
  6. Step 6: Final answer
    x = 290.06

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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.