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Finding the Fourth Proportional to 361.60, 498.92 and 263.36

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Solution

The fourth proportional to 361.60, 498.92 and 263.36 is: 363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.60 : 498.92 = 263.36 : x
  2. Step 2: Convert to fraction form
    361.60/498.92 = 263.36/x
  3. Step 3: Cross multiply
    361.60x = 498.92 × 263.36
  4. Step 4: Simplify right side
    361.60x = 131,395.57
  5. Step 5: Solve for x
    x = 131,395.57/361.60
  6. Step 6: Final answer
    x = 363.37

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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.