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Finding the Fourth Proportional to 298.25, 411.42 and 187.69

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Solution

The fourth proportional to 298.25, 411.42 and 187.69 is: 258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.25 : 411.42 = 187.69 : x
  2. Step 2: Convert to fraction form
    298.25/411.42 = 187.69/x
  3. Step 3: Cross multiply
    298.25x = 411.42 × 187.69
  4. Step 4: Simplify right side
    298.25x = 77,219.42
  5. Step 5: Solve for x
    x = 77,219.42/298.25
  6. Step 6: Final answer
    x = 258.91

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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.