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Finding the Fourth Proportional to 191.64, 285.45 and 162.12

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Solution

The fourth proportional to 191.64, 285.45 and 162.12 is: 241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.64 : 285.45 = 162.12 : x
  2. Step 2: Convert to fraction form
    191.64/285.45 = 162.12/x
  3. Step 3: Cross multiply
    191.64x = 285.45 × 162.12
  4. Step 4: Simplify right side
    191.64x = 46,277.15
  5. Step 5: Solve for x
    x = 46,277.15/191.64
  6. Step 6: Final answer
    x = 241.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.