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Finding the Fourth Proportional to 219.07, 302.32 and 120.83

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Solution

The fourth proportional to 219.07, 302.32 and 120.83 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.07 : 302.32 = 120.83 : x
  2. Step 2: Convert to fraction form
    219.07/302.32 = 120.83/x
  3. Step 3: Cross multiply
    219.07x = 302.32 × 120.83
  4. Step 4: Simplify right side
    219.07x = 36,527.97
  5. Step 5: Solve for x
    x = 36,527.97/219.07
  6. Step 6: Final answer
    x = 166.74

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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.