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Finding the Fourth Proportional to 361.12, 498.41 and 283.63

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Solution

The fourth proportional to 361.12, 498.41 and 283.63 is: 391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.12 : 498.41 = 283.63 : x
  2. Step 2: Convert to fraction form
    361.12/498.41 = 283.63/x
  3. Step 3: Cross multiply
    361.12x = 498.41 × 283.63
  4. Step 4: Simplify right side
    361.12x = 141,364.03
  5. Step 5: Solve for x
    x = 141,364.03/361.12
  6. Step 6: Final answer
    x = 391.46

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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.