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Finding the Fourth Proportional to 293.56, 404.56 and 219.60

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Solution

The fourth proportional to 293.56, 404.56 and 219.60 is: 302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.56 : 404.56 = 219.60 : x
  2. Step 2: Convert to fraction form
    293.56/404.56 = 219.60/x
  3. Step 3: Cross multiply
    293.56x = 404.56 × 219.60
  4. Step 4: Simplify right side
    293.56x = 88,841.38
  5. Step 5: Solve for x
    x = 88,841.38/293.56
  6. Step 6: Final answer
    x = 302.63

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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.