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Finding the Fourth Proportional to 213.42, 294.53 and 120.17

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Solution

The fourth proportional to 213.42, 294.53 and 120.17 is: 165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 294.53 = 120.17 : x
  2. Step 2: Convert to fraction form
    213.42/294.53 = 120.17/x
  3. Step 3: Cross multiply
    213.42x = 294.53 × 120.17
  4. Step 4: Simplify right side
    213.42x = 35,393.67
  5. Step 5: Solve for x
    x = 35,393.67/213.42
  6. Step 6: Final answer
    x = 165.84

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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.