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Finding the Fourth Proportional to 229.30, 315.87 and 192.43

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Solution

The fourth proportional to 229.30, 315.87 and 192.43 is: 265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.30 : 315.87 = 192.43 : x
  2. Step 2: Convert to fraction form
    229.30/315.87 = 192.43/x
  3. Step 3: Cross multiply
    229.30x = 315.87 × 192.43
  4. Step 4: Simplify right side
    229.30x = 60,782.86
  5. Step 5: Solve for x
    x = 60,782.86/229.30
  6. Step 6: Final answer
    x = 265.08

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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.