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Finding the Fourth Proportional to 219.70, 302.97 and 160.57

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Solution

The fourth proportional to 219.70, 302.97 and 160.57 is: 221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.70 : 302.97 = 160.57 : x
  2. Step 2: Convert to fraction form
    219.70/302.97 = 160.57/x
  3. Step 3: Cross multiply
    219.70x = 302.97 × 160.57
  4. Step 4: Simplify right side
    219.70x = 48,647.89
  5. Step 5: Solve for x
    x = 48,647.89/219.70
  6. Step 6: Final answer
    x = 221.43

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Why These Related Problems?

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