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Finding the Fourth Proportional to 262.72, 394.26 and 118.72

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Solution

The fourth proportional to 262.72, 394.26 and 118.72 is: 178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.72 : 394.26 = 118.72 : x
  2. Step 2: Convert to fraction form
    262.72/394.26 = 118.72/x
  3. Step 3: Cross multiply
    262.72x = 394.26 × 118.72
  4. Step 4: Simplify right side
    262.72x = 46,806.55
  5. Step 5: Solve for x
    x = 46,806.55/262.72
  6. Step 6: Final answer
    x = 178.16

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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.