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Finding the Fourth Proportional to 214.22, 295.65 and 120.98

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Solution

The fourth proportional to 214.22, 295.65 and 120.98 is: 166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.22 : 295.65 = 120.98 : x
  2. Step 2: Convert to fraction form
    214.22/295.65 = 120.98/x
  3. Step 3: Cross multiply
    214.22x = 295.65 × 120.98
  4. Step 4: Simplify right side
    214.22x = 35,766.26
  5. Step 5: Solve for x
    x = 35,766.26/214.22
  6. Step 6: Final answer
    x = 166.96

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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.