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Finding the Fourth Proportional to 253.22, 381.46 and 189.50

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Solution

The fourth proportional to 253.22, 381.46 and 189.50 is: 285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.22 : 381.46 = 189.50 : x
  2. Step 2: Convert to fraction form
    253.22/381.46 = 189.50/x
  3. Step 3: Cross multiply
    253.22x = 381.46 × 189.50
  4. Step 4: Simplify right side
    253.22x = 72,285.72
  5. Step 5: Solve for x
    x = 72,285.72/253.22
  6. Step 6: Final answer
    x = 285.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.