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Finding the Fourth Proportional to 313.74, 468.44 and 270.36

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Solution

The fourth proportional to 313.74, 468.44 and 270.36 is: 403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.74 : 468.44 = 270.36 : x
  2. Step 2: Convert to fraction form
    313.74/468.44 = 270.36/x
  3. Step 3: Cross multiply
    313.74x = 468.44 × 270.36
  4. Step 4: Simplify right side
    313.74x = 126,646.09
  5. Step 5: Solve for x
    x = 126,646.09/313.74
  6. Step 6: Final answer
    x = 403.67

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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.