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Finding the Fourth Proportional to 183.06, 272.70 and 164.70

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Solution

The fourth proportional to 183.06, 272.70 and 164.70 is: 245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.06 : 272.70 = 164.70 : x
  2. Step 2: Convert to fraction form
    183.06/272.70 = 164.70/x
  3. Step 3: Cross multiply
    183.06x = 272.70 × 164.70
  4. Step 4: Simplify right side
    183.06x = 44,913.69
  5. Step 5: Solve for x
    x = 44,913.69/183.06
  6. Step 6: Final answer
    x = 245.35

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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.