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Finding the Fourth Proportional to 270.78, 403.41 and 267.01

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Solution

The fourth proportional to 270.78, 403.41 and 267.01 is: 397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.78 : 403.41 = 267.01 : x
  2. Step 2: Convert to fraction form
    270.78/403.41 = 267.01/x
  3. Step 3: Cross multiply
    270.78x = 403.41 × 267.01
  4. Step 4: Simplify right side
    270.78x = 107,714.50
  5. Step 5: Solve for x
    x = 107,714.50/270.78
  6. Step 6: Final answer
    x = 397.79

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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.