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Finding the Fourth Proportional to 361.28, 499.07 and 287.50

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Solution

The fourth proportional to 361.28, 499.07 and 287.50 is: 397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.28 : 499.07 = 287.50 : x
  2. Step 2: Convert to fraction form
    361.28/499.07 = 287.50/x
  3. Step 3: Cross multiply
    361.28x = 499.07 × 287.50
  4. Step 4: Simplify right side
    361.28x = 143,482.16
  5. Step 5: Solve for x
    x = 143,482.16/361.28
  6. Step 6: Final answer
    x = 397.15

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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.