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Finding the Fourth Proportional to 213.04, 319.65 and 110.36

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Solution

The fourth proportional to 213.04, 319.65 and 110.36 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.04 : 319.65 = 110.36 : x
  2. Step 2: Convert to fraction form
    213.04/319.65 = 110.36/x
  3. Step 3: Cross multiply
    213.04x = 319.65 × 110.36
  4. Step 4: Simplify right side
    213.04x = 35,276.57
  5. Step 5: Solve for x
    x = 35,276.57/213.04
  6. Step 6: Final answer
    x = 165.59

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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.