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Finding the Fourth Proportional to 298.76, 412.49 and 236.89

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Solution

The fourth proportional to 298.76, 412.49 and 236.89 is: 327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.76 : 412.49 = 236.89 : x
  2. Step 2: Convert to fraction form
    298.76/412.49 = 236.89/x
  3. Step 3: Cross multiply
    298.76x = 412.49 × 236.89
  4. Step 4: Simplify right side
    298.76x = 97,712.54
  5. Step 5: Solve for x
    x = 97,712.54/298.76
  6. Step 6: Final answer
    x = 327.07

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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.