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Finding the Fourth Proportional to 273.06, 407.86 and 257.27

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Solution

The fourth proportional to 273.06, 407.86 and 257.27 is: 384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.06 : 407.86 = 257.27 : x
  2. Step 2: Convert to fraction form
    273.06/407.86 = 257.27/x
  3. Step 3: Cross multiply
    273.06x = 407.86 × 257.27
  4. Step 4: Simplify right side
    273.06x = 104,928.10
  5. Step 5: Solve for x
    x = 104,928.10/273.06
  6. Step 6: Final answer
    x = 384.27

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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.