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Finding the Fourth Proportional to 270.75, 405.64 and 114.23

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Solution

The fourth proportional to 270.75, 405.64 and 114.23 is: 171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.75 : 405.64 = 114.23 : x
  2. Step 2: Convert to fraction form
    270.75/405.64 = 114.23/x
  3. Step 3: Cross multiply
    270.75x = 405.64 × 114.23
  4. Step 4: Simplify right side
    270.75x = 46,333.94
  5. Step 5: Solve for x
    x = 46,333.94/270.75
  6. Step 6: Final answer
    x = 171.13

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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.