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Finding the Fourth Proportional to 262.79, 393.64 and 154.31

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Solution

The fourth proportional to 262.79, 393.64 and 154.31 is: 231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.79 : 393.64 = 154.31 : x
  2. Step 2: Convert to fraction form
    262.79/393.64 = 154.31/x
  3. Step 3: Cross multiply
    262.79x = 393.64 × 154.31
  4. Step 4: Simplify right side
    262.79x = 60,743.19
  5. Step 5: Solve for x
    x = 60,743.19/262.79
  6. Step 6: Final answer
    x = 231.15

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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.