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Finding the Fourth Proportional to 361.38, 498.93 and 278.33

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Solution

The fourth proportional to 361.38, 498.93 and 278.33 is: 384.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.38 : 498.93 = 278.33 : x
  2. Step 2: Convert to fraction form
    361.38/498.93 = 278.33/x
  3. Step 3: Cross multiply
    361.38x = 498.93 × 278.33
  4. Step 4: Simplify right side
    361.38x = 138,863.30
  5. Step 5: Solve for x
    x = 138,863.30/361.38
  6. Step 6: Final answer
    x = 384.26

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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.