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Finding the Fourth Proportional to 288.93, 433.06 and 273.73

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Solution

The fourth proportional to 288.93, 433.06 and 273.73 is: 410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.93 : 433.06 = 273.73 : x
  2. Step 2: Convert to fraction form
    288.93/433.06 = 273.73/x
  3. Step 3: Cross multiply
    288.93x = 433.06 × 273.73
  4. Step 4: Simplify right side
    288.93x = 118,541.51
  5. Step 5: Solve for x
    x = 118,541.51/288.93
  6. Step 6: Final answer
    x = 410.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.