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Finding the Fourth Proportional to 503.73, 755.42 and 214.83

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Solution

The fourth proportional to 503.73, 755.42 and 214.83 is: 322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.73 : 755.42 = 214.83 : x
  2. Step 2: Convert to fraction form
    503.73/755.42 = 214.83/x
  3. Step 3: Cross multiply
    503.73x = 755.42 × 214.83
  4. Step 4: Simplify right side
    503.73x = 162,285.80
  5. Step 5: Solve for x
    x = 162,285.80/503.73
  6. Step 6: Final answer
    x = 322.17

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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.