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Finding the Fourth Proportional to 191.21, 264 and 120.35

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Solution

The fourth proportional to 191.21, 264 and 120.35 is: 166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.21 : 264 = 120.35 : x
  2. Step 2: Convert to fraction form
    191.21/264 = 120.35/x
  3. Step 3: Cross multiply
    191.21x = 264 × 120.35
  4. Step 4: Simplify right side
    191.21x = 31,772.40
  5. Step 5: Solve for x
    x = 31,772.40/191.21
  6. Step 6: Final answer
    x = 166.16

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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.