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Finding the Fourth Proportional to 298.51, 411.91 and 165.71

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Solution

The fourth proportional to 298.51, 411.91 and 165.71 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.51 : 411.91 = 165.71 : x
  2. Step 2: Convert to fraction form
    298.51/411.91 = 165.71/x
  3. Step 3: Cross multiply
    298.51x = 411.91 × 165.71
  4. Step 4: Simplify right side
    298.51x = 68,257.61
  5. Step 5: Solve for x
    x = 68,257.61/298.51
  6. Step 6: Final answer
    x = 228.66

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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.