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Finding the Fourth Proportional to 312, 467.20 and 303.68

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Solution

The fourth proportional to 312, 467.20 and 303.68 is: 454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312 : 467.20 = 303.68 : x
  2. Step 2: Convert to fraction form
    312/467.20 = 303.68/x
  3. Step 3: Cross multiply
    312x = 467.20 × 303.68
  4. Step 4: Simplify right side
    312x = 141,879.30
  5. Step 5: Solve for x
    x = 141,879.30/312
  6. Step 6: Final answer
    x = 454.74

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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.