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Finding the Fourth Proportional to 503.75, 755.71 and 230.11

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Solution

The fourth proportional to 503.75, 755.71 and 230.11 is: 345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.75 : 755.71 = 230.11 : x
  2. Step 2: Convert to fraction form
    503.75/755.71 = 230.11/x
  3. Step 3: Cross multiply
    503.75x = 755.71 × 230.11
  4. Step 4: Simplify right side
    503.75x = 173,893.96
  5. Step 5: Solve for x
    x = 173,893.96/503.75
  6. Step 6: Final answer
    x = 345.20

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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.