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Finding the Fourth Proportional to 359.28, 537.66 and 267.75

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Solution

The fourth proportional to 359.28, 537.66 and 267.75 is: 400.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.28 : 537.66 = 267.75 : x
  2. Step 2: Convert to fraction form
    359.28/537.66 = 267.75/x
  3. Step 3: Cross multiply
    359.28x = 537.66 × 267.75
  4. Step 4: Simplify right side
    359.28x = 143,958.47
  5. Step 5: Solve for x
    x = 143,958.47/359.28
  6. Step 6: Final answer
    x = 400.69

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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.