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Finding the Fourth Proportional to 303.26, 418.59 and 288.63

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Solution

The fourth proportional to 303.26, 418.59 and 288.63 is: 398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.26 : 418.59 = 288.63 : x
  2. Step 2: Convert to fraction form
    303.26/418.59 = 288.63/x
  3. Step 3: Cross multiply
    303.26x = 418.59 × 288.63
  4. Step 4: Simplify right side
    303.26x = 120,817.63
  5. Step 5: Solve for x
    x = 120,817.63/303.26
  6. Step 6: Final answer
    x = 398.40

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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.