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Finding the Fourth Proportional to 270.56, 370.16 and 269.41

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Solution

The fourth proportional to 270.56, 370.16 and 269.41 is: 368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.56 : 370.16 = 269.41 : x
  2. Step 2: Convert to fraction form
    270.56/370.16 = 269.41/x
  3. Step 3: Cross multiply
    270.56x = 370.16 × 269.41
  4. Step 4: Simplify right side
    270.56x = 99,724.55
  5. Step 5: Solve for x
    x = 99,724.55/270.56
  6. Step 6: Final answer
    x = 368.58

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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.