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Finding the Fourth Proportional to 191.64, 285.90 and 162.96

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Solution

The fourth proportional to 191.64, 285.90 and 162.96 is: 243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.64 : 285.90 = 162.96 : x
  2. Step 2: Convert to fraction form
    191.64/285.90 = 162.96/x
  3. Step 3: Cross multiply
    191.64x = 285.90 × 162.96
  4. Step 4: Simplify right side
    191.64x = 46,590.26
  5. Step 5: Solve for x
    x = 46,590.26/191.64
  6. Step 6: Final answer
    x = 243.11

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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.