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Finding the Fourth Proportional to 267.30, 399.60 and 264.60

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Solution

The fourth proportional to 267.30, 399.60 and 264.60 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.30 : 399.60 = 264.60 : x
  2. Step 2: Convert to fraction form
    267.30/399.60 = 264.60/x
  3. Step 3: Cross multiply
    267.30x = 399.60 × 264.60
  4. Step 4: Simplify right side
    267.30x = 105,734.16
  5. Step 5: Solve for x
    x = 105,734.16/267.30
  6. Step 6: Final answer
    x = 395.56

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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.