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Finding the Fourth Proportional to 261.27, 391.53 and 203.22

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Solution

The fourth proportional to 261.27, 391.53 and 203.22 is: 304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.27 : 391.53 = 203.22 : x
  2. Step 2: Convert to fraction form
    261.27/391.53 = 203.22/x
  3. Step 3: Cross multiply
    261.27x = 391.53 × 203.22
  4. Step 4: Simplify right side
    261.27x = 79,566.73
  5. Step 5: Solve for x
    x = 79,566.73/261.27
  6. Step 6: Final answer
    x = 304.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.