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Finding the Fourth Proportional to 358.63, 538.25 and 267.03

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Solution

The fourth proportional to 358.63, 538.25 and 267.03 is: 400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.63 : 538.25 = 267.03 : x
  2. Step 2: Convert to fraction form
    358.63/538.25 = 267.03/x
  3. Step 3: Cross multiply
    358.63x = 538.25 × 267.03
  4. Step 4: Simplify right side
    358.63x = 143,727.56
  5. Step 5: Solve for x
    x = 143,727.56/358.63
  6. Step 6: Final answer
    x = 400.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.