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Finding the Fourth Proportional to 229.56, 345.62 and 157.89

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Solution

The fourth proportional to 229.56, 345.62 and 157.89 is: 237.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.56 : 345.62 = 157.89 : x
  2. Step 2: Convert to fraction form
    229.56/345.62 = 157.89/x
  3. Step 3: Cross multiply
    229.56x = 345.62 × 157.89
  4. Step 4: Simplify right side
    229.56x = 54,569.15
  5. Step 5: Solve for x
    x = 54,569.15/229.56
  6. Step 6: Final answer
    x = 237.71

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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.