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Finding the Fourth Proportional to 293.46, 405.15 and 219.18

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Solution

The fourth proportional to 293.46, 405.15 and 219.18 is: 302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.46 : 405.15 = 219.18 : x
  2. Step 2: Convert to fraction form
    293.46/405.15 = 219.18/x
  3. Step 3: Cross multiply
    293.46x = 405.15 × 219.18
  4. Step 4: Simplify right side
    293.46x = 88,799.68
  5. Step 5: Solve for x
    x = 88,799.68/293.46
  6. Step 6: Final answer
    x = 302.60

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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.