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Finding the Fourth Proportional to 229.90, 345.12 and 212.89

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Solution

The fourth proportional to 229.90, 345.12 and 212.89 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.90 : 345.12 = 212.89 : x
  2. Step 2: Convert to fraction form
    229.90/345.12 = 212.89/x
  3. Step 3: Cross multiply
    229.90x = 345.12 × 212.89
  4. Step 4: Simplify right side
    229.90x = 73,472.60
  5. Step 5: Solve for x
    x = 73,472.60/229.90
  6. Step 6: Final answer
    x = 319.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.