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Finding the Fourth Proportional to 298.09, 411.34 and 165.30

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Solution

The fourth proportional to 298.09, 411.34 and 165.30 is: 228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 411.34 = 165.30 : x
  2. Step 2: Convert to fraction form
    298.09/411.34 = 165.30/x
  3. Step 3: Cross multiply
    298.09x = 411.34 × 165.30
  4. Step 4: Simplify right side
    298.09x = 67,994.50
  5. Step 5: Solve for x
    x = 67,994.50/298.09
  6. Step 6: Final answer
    x = 228.10

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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.