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Finding the Fourth Proportional to 270.36, 370.08 and 269.28

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Solution

The fourth proportional to 270.36, 370.08 and 269.28 is: 368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.36 : 370.08 = 269.28 : x
  2. Step 2: Convert to fraction form
    270.36/370.08 = 269.28/x
  3. Step 3: Cross multiply
    270.36x = 370.08 × 269.28
  4. Step 4: Simplify right side
    270.36x = 99,655.14
  5. Step 5: Solve for x
    x = 99,655.14/270.36
  6. Step 6: Final answer
    x = 368.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.