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Finding the Fourth Proportional to 503.15, 754.91 and 229.05

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Solution

The fourth proportional to 503.15, 754.91 and 229.05 is: 343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.15 : 754.91 = 229.05 : x
  2. Step 2: Convert to fraction form
    503.15/754.91 = 229.05/x
  3. Step 3: Cross multiply
    503.15x = 754.91 × 229.05
  4. Step 4: Simplify right side
    503.15x = 172,912.14
  5. Step 5: Solve for x
    x = 172,912.14/503.15
  6. Step 6: Final answer
    x = 343.66

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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.