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Finding the Fourth Proportional to 287.31, 395.60 and 267.15

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Solution

The fourth proportional to 287.31, 395.60 and 267.15 is: 367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.31 : 395.60 = 267.15 : x
  2. Step 2: Convert to fraction form
    287.31/395.60 = 267.15/x
  3. Step 3: Cross multiply
    287.31x = 395.60 × 267.15
  4. Step 4: Simplify right side
    287.31x = 105,683.20
  5. Step 5: Solve for x
    x = 105,683.20/287.31
  6. Step 6: Final answer
    x = 367.84

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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.