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Finding the Fourth Proportional to 273.23, 407.65 and 261.26

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Solution

The fourth proportional to 273.23, 407.65 and 261.26 is: 389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.23 : 407.65 = 261.26 : x
  2. Step 2: Convert to fraction form
    273.23/407.65 = 261.26/x
  3. Step 3: Cross multiply
    273.23x = 407.65 × 261.26
  4. Step 4: Simplify right side
    273.23x = 106,502.64
  5. Step 5: Solve for x
    x = 106,502.64/273.23
  6. Step 6: Final answer
    x = 389.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.