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Finding the Fourth Proportional to 298.92, 412.62 and 233.16

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Solution

The fourth proportional to 298.92, 412.62 and 233.16 is: 321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.92 : 412.62 = 233.16 : x
  2. Step 2: Convert to fraction form
    298.92/412.62 = 233.16/x
  3. Step 3: Cross multiply
    298.92x = 412.62 × 233.16
  4. Step 4: Simplify right side
    298.92x = 96,206.48
  5. Step 5: Solve for x
    x = 96,206.48/298.92
  6. Step 6: Final answer
    x = 321.85

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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.