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Finding the Fourth Proportional to 262.49, 394.45 and 160.07

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Solution

The fourth proportional to 262.49, 394.45 and 160.07 is: 240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.49 : 394.45 = 160.07 : x
  2. Step 2: Convert to fraction form
    262.49/394.45 = 160.07/x
  3. Step 3: Cross multiply
    262.49x = 394.45 × 160.07
  4. Step 4: Simplify right side
    262.49x = 63,137.24
  5. Step 5: Solve for x
    x = 63,137.24/262.49
  6. Step 6: Final answer
    x = 240.54

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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.