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Finding the Fourth Proportional to 219.74, 303.21 and 121.47

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Solution

The fourth proportional to 219.74, 303.21 and 121.47 is: 167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.74 : 303.21 = 121.47 : x
  2. Step 2: Convert to fraction form
    219.74/303.21 = 121.47/x
  3. Step 3: Cross multiply
    219.74x = 303.21 × 121.47
  4. Step 4: Simplify right side
    219.74x = 36,830.92
  5. Step 5: Solve for x
    x = 36,830.92/219.74
  6. Step 6: Final answer
    x = 167.62

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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.