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Finding the Fourth Proportional to 295.38, 443.06 and 78.96

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Solution

The fourth proportional to 295.38, 443.06 and 78.96 is: 118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.38 : 443.06 = 78.96 : x
  2. Step 2: Convert to fraction form
    295.38/443.06 = 78.96/x
  3. Step 3: Cross multiply
    295.38x = 443.06 × 78.96
  4. Step 4: Simplify right side
    295.38x = 34,984.02
  5. Step 5: Solve for x
    x = 34,984.02/295.38
  6. Step 6: Final answer
    x = 118.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.