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Finding the Fourth Proportional to 298.17, 411.48 and 187.61

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Solution

The fourth proportional to 298.17, 411.48 and 187.61 is: 258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.17 : 411.48 = 187.61 : x
  2. Step 2: Convert to fraction form
    298.17/411.48 = 187.61/x
  3. Step 3: Cross multiply
    298.17x = 411.48 × 187.61
  4. Step 4: Simplify right side
    298.17x = 77,195.71
  5. Step 5: Solve for x
    x = 77,195.71/298.17
  6. Step 6: Final answer
    x = 258.90

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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.