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Finding the Fourth Proportional to 270, 405.41 and 235.98

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Solution

The fourth proportional to 270, 405.41 and 235.98 is: 354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 405.41 = 235.98 : x
  2. Step 2: Convert to fraction form
    270/405.41 = 235.98/x
  3. Step 3: Cross multiply
    270x = 405.41 × 235.98
  4. Step 4: Simplify right side
    270x = 95,668.65
  5. Step 5: Solve for x
    x = 95,668.65/270
  6. Step 6: Final answer
    x = 354.33

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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.