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Finding the Fourth Proportional to 298.40, 411.78 and 165.62

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Solution

The fourth proportional to 298.40, 411.78 and 165.62 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.40 : 411.78 = 165.62 : x
  2. Step 2: Convert to fraction form
    298.40/411.78 = 165.62/x
  3. Step 3: Cross multiply
    298.40x = 411.78 × 165.62
  4. Step 4: Simplify right side
    298.40x = 68,199.00
  5. Step 5: Solve for x
    x = 68,199.00/298.40
  6. Step 6: Final answer
    x = 228.55

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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.