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Finding the Fourth Proportional to 389.67, 537.71 and 221.63

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Solution

The fourth proportional to 389.67, 537.71 and 221.63 is: 305.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.67 : 537.71 = 221.63 : x
  2. Step 2: Convert to fraction form
    389.67/537.71 = 221.63/x
  3. Step 3: Cross multiply
    389.67x = 537.71 × 221.63
  4. Step 4: Simplify right side
    389.67x = 119,172.67
  5. Step 5: Solve for x
    x = 119,172.67/389.67
  6. Step 6: Final answer
    x = 305.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.