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Finding the Fourth Proportional to 298.22, 411.27 and 187.70

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Solution

The fourth proportional to 298.22, 411.27 and 187.70 is: 258.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.22 : 411.27 = 187.70 : x
  2. Step 2: Convert to fraction form
    298.22/411.27 = 187.70/x
  3. Step 3: Cross multiply
    298.22x = 411.27 × 187.70
  4. Step 4: Simplify right side
    298.22x = 77,193.32
  5. Step 5: Solve for x
    x = 77,193.32/298.22
  6. Step 6: Final answer
    x = 258.85

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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.