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Finding the Fourth Proportional to 164.70, 219.20 and 164.70

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Solution

The fourth proportional to 164.70, 219.20 and 164.70 is: 219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.70 : 219.20 = 164.70 : x
  2. Step 2: Convert to fraction form
    164.70/219.20 = 164.70/x
  3. Step 3: Cross multiply
    164.70x = 219.20 × 164.70
  4. Step 4: Simplify right side
    164.70x = 36,101.42
  5. Step 5: Solve for x
    x = 36,101.42/164.70
  6. Step 6: Final answer
    x = 219.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.