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Finding the Fourth Proportional to 267.47, 398.63 and 267.07

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Solution

The fourth proportional to 267.47, 398.63 and 267.07 is: 398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.47 : 398.63 = 267.07 : x
  2. Step 2: Convert to fraction form
    267.47/398.63 = 267.07/x
  3. Step 3: Cross multiply
    267.47x = 398.63 × 267.07
  4. Step 4: Simplify right side
    267.47x = 106,460.12
  5. Step 5: Solve for x
    x = 106,460.12/267.47
  6. Step 6: Final answer
    x = 398.03

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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.