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Finding the Fourth Proportional to 191.08, 264.42 and 165.16

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Solution

The fourth proportional to 191.08, 264.42 and 165.16 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.08 : 264.42 = 165.16 : x
  2. Step 2: Convert to fraction form
    191.08/264.42 = 165.16/x
  3. Step 3: Cross multiply
    191.08x = 264.42 × 165.16
  4. Step 4: Simplify right side
    191.08x = 43,671.61
  5. Step 5: Solve for x
    x = 43,671.61/191.08
  6. Step 6: Final answer
    x = 228.55

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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.