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Finding the Fourth Proportional to 267.40, 365.69 and 260.20

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Solution

The fourth proportional to 267.40, 365.69 and 260.20 is: 355.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.40 : 365.69 = 260.20 : x
  2. Step 2: Convert to fraction form
    267.40/365.69 = 260.20/x
  3. Step 3: Cross multiply
    267.40x = 365.69 × 260.20
  4. Step 4: Simplify right side
    267.40x = 95,152.54
  5. Step 5: Solve for x
    x = 95,152.54/267.40
  6. Step 6: Final answer
    x = 355.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.