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Finding the Fourth Proportional to 313.53, 433.13 and 226.67

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Solution

The fourth proportional to 313.53, 433.13 and 226.67 is: 313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.53 : 433.13 = 226.67 : x
  2. Step 2: Convert to fraction form
    313.53/433.13 = 226.67/x
  3. Step 3: Cross multiply
    313.53x = 433.13 × 226.67
  4. Step 4: Simplify right side
    313.53x = 98,174.28
  5. Step 5: Solve for x
    x = 98,174.28/313.53
  6. Step 6: Final answer
    x = 313.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.