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Finding the Fourth Proportional to 270.14, 405.40 and 183.48

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Solution

The fourth proportional to 270.14, 405.40 and 183.48 is: 275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.14 : 405.40 = 183.48 : x
  2. Step 2: Convert to fraction form
    270.14/405.40 = 183.48/x
  3. Step 3: Cross multiply
    270.14x = 405.40 × 183.48
  4. Step 4: Simplify right side
    270.14x = 74,382.79
  5. Step 5: Solve for x
    x = 74,382.79/270.14
  6. Step 6: Final answer
    x = 275.35

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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.