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Finding the Fourth Proportional to 303.21, 455.36 and 264.96

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Solution

The fourth proportional to 303.21, 455.36 and 264.96 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.21 : 455.36 = 264.96 : x
  2. Step 2: Convert to fraction form
    303.21/455.36 = 264.96/x
  3. Step 3: Cross multiply
    303.21x = 455.36 × 264.96
  4. Step 4: Simplify right side
    303.21x = 120,650.86
  5. Step 5: Solve for x
    x = 120,650.86/303.21
  6. Step 6: Final answer
    x = 397.91

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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.