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Finding the Fourth Proportional to 220.06, 328.46 and 165.70

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Solution

The fourth proportional to 220.06, 328.46 and 165.70 is: 247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.06 : 328.46 = 165.70 : x
  2. Step 2: Convert to fraction form
    220.06/328.46 = 165.70/x
  3. Step 3: Cross multiply
    220.06x = 328.46 × 165.70
  4. Step 4: Simplify right side
    220.06x = 54,425.82
  5. Step 5: Solve for x
    x = 54,425.82/220.06
  6. Step 6: Final answer
    x = 247.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.