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Finding the Fourth Proportional to 303.68, 415.86 and 287.03

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Solution

The fourth proportional to 303.68, 415.86 and 287.03 is: 393.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.68 : 415.86 = 287.03 : x
  2. Step 2: Convert to fraction form
    303.68/415.86 = 287.03/x
  3. Step 3: Cross multiply
    303.68x = 415.86 × 287.03
  4. Step 4: Simplify right side
    303.68x = 119,362.86
  5. Step 5: Solve for x
    x = 119,362.86/303.68
  6. Step 6: Final answer
    x = 393.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.