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Finding the Fourth Proportional to 262.80, 363.60 and 246.60

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Solution

The fourth proportional to 262.80, 363.60 and 246.60 is: 341.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.80 : 363.60 = 246.60 : x
  2. Step 2: Convert to fraction form
    262.80/363.60 = 246.60/x
  3. Step 3: Cross multiply
    262.80x = 363.60 × 246.60
  4. Step 4: Simplify right side
    262.80x = 89,663.76
  5. Step 5: Solve for x
    x = 89,663.76/262.80
  6. Step 6: Final answer
    x = 341.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.