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Finding the Fourth Proportional to 288.13, 431.79 and 105.43

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Solution

The fourth proportional to 288.13, 431.79 and 105.43 is: 157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.13 : 431.79 = 105.43 : x
  2. Step 2: Convert to fraction form
    288.13/431.79 = 105.43/x
  3. Step 3: Cross multiply
    288.13x = 431.79 × 105.43
  4. Step 4: Simplify right side
    288.13x = 45,522.04
  5. Step 5: Solve for x
    x = 45,522.04/288.13
  6. Step 6: Final answer
    x = 157.99

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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.