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Finding the Fourth Proportional to 298.49, 412.11 and 187.95

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Solution

The fourth proportional to 298.49, 412.11 and 187.95 is: 259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.49 : 412.11 = 187.95 : x
  2. Step 2: Convert to fraction form
    298.49/412.11 = 187.95/x
  3. Step 3: Cross multiply
    298.49x = 412.11 × 187.95
  4. Step 4: Simplify right side
    298.49x = 77,454.67
  5. Step 5: Solve for x
    x = 77,454.67/298.49
  6. Step 6: Final answer
    x = 259.49

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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.