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Finding the Fourth Proportional to 191.37, 285.66 and 164.49

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Solution

The fourth proportional to 191.37, 285.66 and 164.49 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.37 : 285.66 = 164.49 : x
  2. Step 2: Convert to fraction form
    191.37/285.66 = 164.49/x
  3. Step 3: Cross multiply
    191.37x = 285.66 × 164.49
  4. Step 4: Simplify right side
    191.37x = 46,988.21
  5. Step 5: Solve for x
    x = 46,988.21/191.37
  6. Step 6: Final answer
    x = 245.54

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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.