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Finding the Fourth Proportional to 194.80, 293.35 and 162.64

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Solution

The fourth proportional to 194.80, 293.35 and 162.64 is: 244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.80 : 293.35 = 162.64 : x
  2. Step 2: Convert to fraction form
    194.80/293.35 = 162.64/x
  3. Step 3: Cross multiply
    194.80x = 293.35 × 162.64
  4. Step 4: Simplify right side
    194.80x = 47,710.44
  5. Step 5: Solve for x
    x = 47,710.44/194.80
  6. Step 6: Final answer
    x = 244.92

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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.