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Finding the Fourth Proportional to 503.97, 756.08 and 211.31

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Solution

The fourth proportional to 503.97, 756.08 and 211.31 is: 317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.97 : 756.08 = 211.31 : x
  2. Step 2: Convert to fraction form
    503.97/756.08 = 211.31/x
  3. Step 3: Cross multiply
    503.97x = 756.08 × 211.31
  4. Step 4: Simplify right side
    503.97x = 159,766.47
  5. Step 5: Solve for x
    x = 159,766.47/503.97
  6. Step 6: Final answer
    x = 317.02

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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.