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Finding the Fourth Proportional to 262.95, 393.91 and 141.04

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Solution

The fourth proportional to 262.95, 393.91 and 141.04 is: 211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.95 : 393.91 = 141.04 : x
  2. Step 2: Convert to fraction form
    262.95/393.91 = 141.04/x
  3. Step 3: Cross multiply
    262.95x = 393.91 × 141.04
  4. Step 4: Simplify right side
    262.95x = 55,558.00
  5. Step 5: Solve for x
    x = 55,558.00/262.95
  6. Step 6: Final answer
    x = 211.29

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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.