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Finding the Fourth Proportional to 440.68, 608.84 and 310.27

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Solution

The fourth proportional to 440.68, 608.84 and 310.27 is: 428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.68 : 608.84 = 310.27 : x
  2. Step 2: Convert to fraction form
    440.68/608.84 = 310.27/x
  3. Step 3: Cross multiply
    440.68x = 608.84 × 310.27
  4. Step 4: Simplify right side
    440.68x = 188,904.79
  5. Step 5: Solve for x
    x = 188,904.79/440.68
  6. Step 6: Final answer
    x = 428.67

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