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Finding the Fourth Proportional to 229.19, 345.50 and 219.93

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Solution

The fourth proportional to 229.19, 345.50 and 219.93 is: 331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.19 : 345.50 = 219.93 : x
  2. Step 2: Convert to fraction form
    229.19/345.50 = 219.93/x
  3. Step 3: Cross multiply
    229.19x = 345.50 × 219.93
  4. Step 4: Simplify right side
    229.19x = 75,985.82
  5. Step 5: Solve for x
    x = 75,985.82/229.19
  6. Step 6: Final answer
    x = 331.54

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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.