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Finding the Fourth Proportional to 195.68, 294.86 and 162.19

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Solution

The fourth proportional to 195.68, 294.86 and 162.19 is: 244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.68 : 294.86 = 162.19 : x
  2. Step 2: Convert to fraction form
    195.68/294.86 = 162.19/x
  3. Step 3: Cross multiply
    195.68x = 294.86 × 162.19
  4. Step 4: Simplify right side
    195.68x = 47,823.34
  5. Step 5: Solve for x
    x = 47,823.34/195.68
  6. Step 6: Final answer
    x = 244.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.