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Finding the Fourth Proportional to 316.44, 435.96 and 267.60

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Solution

The fourth proportional to 316.44, 435.96 and 267.60 is: 368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.44 : 435.96 = 267.60 : x
  2. Step 2: Convert to fraction form
    316.44/435.96 = 267.60/x
  3. Step 3: Cross multiply
    316.44x = 435.96 × 267.60
  4. Step 4: Simplify right side
    316.44x = 116,662.90
  5. Step 5: Solve for x
    x = 116,662.90/316.44
  6. Step 6: Final answer
    x = 368.67

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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.