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Finding the Fourth Proportional to 212.26, 318.32 and 109.58

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Solution

The fourth proportional to 212.26, 318.32 and 109.58 is: 164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.26 : 318.32 = 109.58 : x
  2. Step 2: Convert to fraction form
    212.26/318.32 = 109.58/x
  3. Step 3: Cross multiply
    212.26x = 318.32 × 109.58
  4. Step 4: Simplify right side
    212.26x = 34,881.51
  5. Step 5: Solve for x
    x = 34,881.51/212.26
  6. Step 6: Final answer
    x = 164.33

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