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Finding the Fourth Proportional to 229.32, 315.77 and 192.33

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Solution

The fourth proportional to 229.32, 315.77 and 192.33 is: 264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.32 : 315.77 = 192.33 : x
  2. Step 2: Convert to fraction form
    229.32/315.77 = 192.33/x
  3. Step 3: Cross multiply
    229.32x = 315.77 × 192.33
  4. Step 4: Simplify right side
    229.32x = 60,731.08
  5. Step 5: Solve for x
    x = 60,731.08/229.32
  6. Step 6: Final answer
    x = 264.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.