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Finding the Fourth Proportional to 219.64, 302.97 and 154.18

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Solution

The fourth proportional to 219.64, 302.97 and 154.18 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.64 : 302.97 = 154.18 : x
  2. Step 2: Convert to fraction form
    219.64/302.97 = 154.18/x
  3. Step 3: Cross multiply
    219.64x = 302.97 × 154.18
  4. Step 4: Simplify right side
    219.64x = 46,711.91
  5. Step 5: Solve for x
    x = 46,711.91/219.64
  6. Step 6: Final answer
    x = 212.67

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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.