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Finding the Fourth Proportional to 313.94, 471.02 and 151.67

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Solution

The fourth proportional to 313.94, 471.02 and 151.67 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.94 : 471.02 = 151.67 : x
  2. Step 2: Convert to fraction form
    313.94/471.02 = 151.67/x
  3. Step 3: Cross multiply
    313.94x = 471.02 × 151.67
  4. Step 4: Simplify right side
    313.94x = 71,440.02
  5. Step 5: Solve for x
    x = 71,440.02/313.94
  6. Step 6: Final answer
    x = 227.56

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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.