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Finding the Fourth Proportional to 219.42, 328.45 and 164.25

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Solution

The fourth proportional to 219.42, 328.45 and 164.25 is: 245.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.42 : 328.45 = 164.25 : x
  2. Step 2: Convert to fraction form
    219.42/328.45 = 164.25/x
  3. Step 3: Cross multiply
    219.42x = 328.45 × 164.25
  4. Step 4: Simplify right side
    219.42x = 53,947.50
  5. Step 5: Solve for x
    x = 53,947.50/219.42
  6. Step 6: Final answer
    x = 245.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.