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Finding the Fourth Proportional to 219.02, 302.18 and 166.55

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Solution

The fourth proportional to 219.02, 302.18 and 166.55 is: 229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.02 : 302.18 = 166.55 : x
  2. Step 2: Convert to fraction form
    219.02/302.18 = 166.55/x
  3. Step 3: Cross multiply
    219.02x = 302.18 × 166.55
  4. Step 4: Simplify right side
    219.02x = 50,325.74
  5. Step 5: Solve for x
    x = 50,325.74/219.02
  6. Step 6: Final answer
    x = 229.78

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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.