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Finding the Fourth Proportional to 229.23, 341.88 and 192.87

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Solution

The fourth proportional to 229.23, 341.88 and 192.87 is: 287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.23 : 341.88 = 192.87 : x
  2. Step 2: Convert to fraction form
    229.23/341.88 = 192.87/x
  3. Step 3: Cross multiply
    229.23x = 341.88 × 192.87
  4. Step 4: Simplify right side
    229.23x = 65,938.40
  5. Step 5: Solve for x
    x = 65,938.40/229.23
  6. Step 6: Final answer
    x = 287.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.