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Finding the Fourth Proportional to 303.58, 455.09 and 252.64

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Solution

The fourth proportional to 303.58, 455.09 and 252.64 is: 378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.58 : 455.09 = 252.64 : x
  2. Step 2: Convert to fraction form
    303.58/455.09 = 252.64/x
  3. Step 3: Cross multiply
    303.58x = 455.09 × 252.64
  4. Step 4: Simplify right side
    303.58x = 114,971.66
  5. Step 5: Solve for x
    x = 114,971.66/303.58
  6. Step 6: Final answer
    x = 378.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.