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Finding the Fourth Proportional to 361.48, 498.85 and 221.67

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Solution

The fourth proportional to 361.48, 498.85 and 221.67 is: 305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.48 : 498.85 = 221.67 : x
  2. Step 2: Convert to fraction form
    361.48/498.85 = 221.67/x
  3. Step 3: Cross multiply
    361.48x = 498.85 × 221.67
  4. Step 4: Simplify right side
    361.48x = 110,580.08
  5. Step 5: Solve for x
    x = 110,580.08/361.48
  6. Step 6: Final answer
    x = 305.91

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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.