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Finding the Fourth Proportional to 262.58, 364.22 and 248.74

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Solution

The fourth proportional to 262.58, 364.22 and 248.74 is: 345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.58 : 364.22 = 248.74 : x
  2. Step 2: Convert to fraction form
    262.58/364.22 = 248.74/x
  3. Step 3: Cross multiply
    262.58x = 364.22 × 248.74
  4. Step 4: Simplify right side
    262.58x = 90,596.08
  5. Step 5: Solve for x
    x = 90,596.08/262.58
  6. Step 6: Final answer
    x = 345.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.