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Finding the Fourth Proportional to 313.16, 467.96 and 276.16

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Solution

The fourth proportional to 313.16, 467.96 and 276.16 is: 412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.16 : 467.96 = 276.16 : x
  2. Step 2: Convert to fraction form
    313.16/467.96 = 276.16/x
  3. Step 3: Cross multiply
    313.16x = 467.96 × 276.16
  4. Step 4: Simplify right side
    313.16x = 129,231.83
  5. Step 5: Solve for x
    x = 129,231.83/313.16
  6. Step 6: Final answer
    x = 412.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.