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Finding the Fourth Proportional to 262.42, 393.80 and 140.76

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Solution

The fourth proportional to 262.42, 393.80 and 140.76 is: 211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.42 : 393.80 = 140.76 : x
  2. Step 2: Convert to fraction form
    262.42/393.80 = 140.76/x
  3. Step 3: Cross multiply
    262.42x = 393.80 × 140.76
  4. Step 4: Simplify right side
    262.42x = 55,430.58
  5. Step 5: Solve for x
    x = 55,430.58/262.42
  6. Step 6: Final answer
    x = 211.23

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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.