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Finding the Fourth Proportional to 270.36, 406.95 and 245.25

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Solution

The fourth proportional to 270.36, 406.95 and 245.25 is: 369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.36 : 406.95 = 245.25 : x
  2. Step 2: Convert to fraction form
    270.36/406.95 = 245.25/x
  3. Step 3: Cross multiply
    270.36x = 406.95 × 245.25
  4. Step 4: Simplify right side
    270.36x = 99,804.49
  5. Step 5: Solve for x
    x = 99,804.49/270.36
  6. Step 6: Final answer
    x = 369.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.