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Finding the Fourth Proportional to 262.57, 393.37 and 214.78

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Solution

The fourth proportional to 262.57, 393.37 and 214.78 is: 321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.57 : 393.37 = 214.78 : x
  2. Step 2: Convert to fraction form
    262.57/393.37 = 214.78/x
  3. Step 3: Cross multiply
    262.57x = 393.37 × 214.78
  4. Step 4: Simplify right side
    262.57x = 84,488.01
  5. Step 5: Solve for x
    x = 84,488.01/262.57
  6. Step 6: Final answer
    x = 321.77

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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.