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Finding the Fourth Proportional to 361.84, 498.72 and 274.54

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Solution

The fourth proportional to 361.84, 498.72 and 274.54 is: 378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.84 : 498.72 = 274.54 : x
  2. Step 2: Convert to fraction form
    361.84/498.72 = 274.54/x
  3. Step 3: Cross multiply
    361.84x = 498.72 × 274.54
  4. Step 4: Simplify right side
    361.84x = 136,918.59
  5. Step 5: Solve for x
    x = 136,918.59/361.84
  6. Step 6: Final answer
    x = 378.40

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