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Finding the Fourth Proportional to 219.76, 302.92 and 154.14

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Solution

The fourth proportional to 219.76, 302.92 and 154.14 is: 212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.76 : 302.92 = 154.14 : x
  2. Step 2: Convert to fraction form
    219.76/302.92 = 154.14/x
  3. Step 3: Cross multiply
    219.76x = 302.92 × 154.14
  4. Step 4: Simplify right side
    219.76x = 46,692.09
  5. Step 5: Solve for x
    x = 46,692.09/219.76
  6. Step 6: Final answer
    x = 212.47

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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.