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Finding the Fourth Proportional to 298.68, 411.44 and 215.55

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Solution

The fourth proportional to 298.68, 411.44 and 215.55 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.68 : 411.44 = 215.55 : x
  2. Step 2: Convert to fraction form
    298.68/411.44 = 215.55/x
  3. Step 3: Cross multiply
    298.68x = 411.44 × 215.55
  4. Step 4: Simplify right side
    298.68x = 88,685.89
  5. Step 5: Solve for x
    x = 88,685.89/298.68
  6. Step 6: Final answer
    x = 296.93

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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.