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Finding the Fourth Proportional to 361.04, 539.10 and 287.08

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Solution

The fourth proportional to 361.04, 539.10 and 287.08 is: 428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.04 : 539.10 = 287.08 : x
  2. Step 2: Convert to fraction form
    361.04/539.10 = 287.08/x
  3. Step 3: Cross multiply
    361.04x = 539.10 × 287.08
  4. Step 4: Simplify right side
    361.04x = 154,766.24
  5. Step 5: Solve for x
    x = 154,766.24/361.04
  6. Step 6: Final answer
    x = 428.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.