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Finding the Fourth Proportional to 361.99, 498.99 and 267.22

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Solution

The fourth proportional to 361.99, 498.99 and 267.22 is: 368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.99 : 498.99 = 267.22 : x
  2. Step 2: Convert to fraction form
    361.99/498.99 = 267.22/x
  3. Step 3: Cross multiply
    361.99x = 498.99 × 267.22
  4. Step 4: Simplify right side
    361.99x = 133,340.11
  5. Step 5: Solve for x
    x = 133,340.11/361.99
  6. Step 6: Final answer
    x = 368.35

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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.