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Finding the Fourth Proportional to 298.61, 412.06 and 165.85

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Solution

The fourth proportional to 298.61, 412.06 and 165.85 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.61 : 412.06 = 165.85 : x
  2. Step 2: Convert to fraction form
    298.61/412.06 = 165.85/x
  3. Step 3: Cross multiply
    298.61x = 412.06 × 165.85
  4. Step 4: Simplify right side
    298.61x = 68,339.48
  5. Step 5: Solve for x
    x = 68,339.48/298.61
  6. Step 6: Final answer
    x = 228.86

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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.