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Finding the Fourth Proportional to 229.88, 346.54 and 214.61

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Solution

The fourth proportional to 229.88, 346.54 and 214.61 is: 323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.88 : 346.54 = 214.61 : x
  2. Step 2: Convert to fraction form
    229.88/346.54 = 214.61/x
  3. Step 3: Cross multiply
    229.88x = 346.54 × 214.61
  4. Step 4: Simplify right side
    229.88x = 74,369.48
  5. Step 5: Solve for x
    x = 74,369.48/229.88
  6. Step 6: Final answer
    x = 323.52

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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.