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Finding the Fourth Proportional to 212.58, 293.34 and 119.32

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Solution

The fourth proportional to 212.58, 293.34 and 119.32 is: 164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.58 : 293.34 = 119.32 : x
  2. Step 2: Convert to fraction form
    212.58/293.34 = 119.32/x
  3. Step 3: Cross multiply
    212.58x = 293.34 × 119.32
  4. Step 4: Simplify right side
    212.58x = 35,000.60
  5. Step 5: Solve for x
    x = 35,000.60/212.58
  6. Step 6: Final answer
    x = 164.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.