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Finding the Fourth Proportional to 288.66, 433.13 and 273.17

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Solution

The fourth proportional to 288.66, 433.13 and 273.17 is: 409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.66 : 433.13 = 273.17 : x
  2. Step 2: Convert to fraction form
    288.66/433.13 = 273.17/x
  3. Step 3: Cross multiply
    288.66x = 433.13 × 273.17
  4. Step 4: Simplify right side
    288.66x = 118,314.59
  5. Step 5: Solve for x
    x = 118,314.59/288.66
  6. Step 6: Final answer
    x = 409.88

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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.