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Finding the Fourth Proportional to 361.89, 499.48 and 212.58

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Solution

The fourth proportional to 361.89, 499.48 and 212.58 is: 293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.89 : 499.48 = 212.58 : x
  2. Step 2: Convert to fraction form
    361.89/499.48 = 212.58/x
  3. Step 3: Cross multiply
    361.89x = 499.48 × 212.58
  4. Step 4: Simplify right side
    361.89x = 106,178.25
  5. Step 5: Solve for x
    x = 106,178.25/361.89
  6. Step 6: Final answer
    x = 293.40

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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.