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Finding the Fourth Proportional to 262.94, 397.39 and 258.46

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Solution

The fourth proportional to 262.94, 397.39 and 258.46 is: 390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 397.39 = 258.46 : x
  2. Step 2: Convert to fraction form
    262.94/397.39 = 258.46/x
  3. Step 3: Cross multiply
    262.94x = 397.39 × 258.46
  4. Step 4: Simplify right side
    262.94x = 102,709.42
  5. Step 5: Solve for x
    x = 102,709.42/262.94
  6. Step 6: Final answer
    x = 390.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.