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Finding the Fourth Proportional to 219.68, 302.26 and 180.19

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Solution

The fourth proportional to 219.68, 302.26 and 180.19 is: 247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.68 : 302.26 = 180.19 : x
  2. Step 2: Convert to fraction form
    219.68/302.26 = 180.19/x
  3. Step 3: Cross multiply
    219.68x = 302.26 × 180.19
  4. Step 4: Simplify right side
    219.68x = 54,463.02
  5. Step 5: Solve for x
    x = 54,463.02/219.68
  6. Step 6: Final answer
    x = 247.93

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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.