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Finding the Fourth Proportional to 219.86, 302.90 and 180.30

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Solution

The fourth proportional to 219.86, 302.90 and 180.30 is: 248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.86 : 302.90 = 180.30 : x
  2. Step 2: Convert to fraction form
    219.86/302.90 = 180.30/x
  3. Step 3: Cross multiply
    219.86x = 302.90 × 180.30
  4. Step 4: Simplify right side
    219.86x = 54,611.97
  5. Step 5: Solve for x
    x = 54,611.97/219.86
  6. Step 6: Final answer
    x = 248.40

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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.