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Finding the Fourth Proportional to 230.50, 347.85 and 229.08

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Solution

The fourth proportional to 230.50, 347.85 and 229.08 is: 345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.50 : 347.85 = 229.08 : x
  2. Step 2: Convert to fraction form
    230.50/347.85 = 229.08/x
  3. Step 3: Cross multiply
    230.50x = 347.85 × 229.08
  4. Step 4: Simplify right side
    230.50x = 79,685.48
  5. Step 5: Solve for x
    x = 79,685.48/230.50
  6. Step 6: Final answer
    x = 345.71

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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.