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Finding the Fourth Proportional to 229.66, 346.24 and 193.84

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Solution

The fourth proportional to 229.66, 346.24 and 193.84 is: 292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.66 : 346.24 = 193.84 : x
  2. Step 2: Convert to fraction form
    229.66/346.24 = 193.84/x
  3. Step 3: Cross multiply
    229.66x = 346.24 × 193.84
  4. Step 4: Simplify right side
    229.66x = 67,115.16
  5. Step 5: Solve for x
    x = 67,115.16/229.66
  6. Step 6: Final answer
    x = 292.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.