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Finding the Fourth Proportional to 219.56, 302.99 and 121.32

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Solution

The fourth proportional to 219.56, 302.99 and 121.32 is: 167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.56 : 302.99 = 121.32 : x
  2. Step 2: Convert to fraction form
    219.56/302.99 = 121.32/x
  3. Step 3: Cross multiply
    219.56x = 302.99 × 121.32
  4. Step 4: Simplify right side
    219.56x = 36,756.63
  5. Step 5: Solve for x
    x = 36,756.63/219.56
  6. Step 6: Final answer
    x = 167.41

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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.