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Finding the Fourth Proportional to 303.26, 419.02 and 289.06

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Solution

The fourth proportional to 303.26, 419.02 and 289.06 is: 399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.26 : 419.02 = 289.06 : x
  2. Step 2: Convert to fraction form
    303.26/419.02 = 289.06/x
  3. Step 3: Cross multiply
    303.26x = 419.02 × 289.06
  4. Step 4: Simplify right side
    303.26x = 121,121.92
  5. Step 5: Solve for x
    x = 121,121.92/303.26
  6. Step 6: Final answer
    x = 399.40

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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.