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Finding the Fourth Proportional to 270.09, 374.70 and 260.37

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Solution

The fourth proportional to 270.09, 374.70 and 260.37 is: 361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.09 : 374.70 = 260.37 : x
  2. Step 2: Convert to fraction form
    270.09/374.70 = 260.37/x
  3. Step 3: Cross multiply
    270.09x = 374.70 × 260.37
  4. Step 4: Simplify right side
    270.09x = 97,558.77
  5. Step 5: Solve for x
    x = 97,558.77/270.09
  6. Step 6: Final answer
    x = 361.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.