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Finding the Fourth Proportional to 550.28, 759.42 and 317.42

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Solution

The fourth proportional to 550.28, 759.42 and 317.42 is: 438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.28 : 759.42 = 317.42 : x
  2. Step 2: Convert to fraction form
    550.28/759.42 = 317.42/x
  3. Step 3: Cross multiply
    550.28x = 759.42 × 317.42
  4. Step 4: Simplify right side
    550.28x = 241,055.10
  5. Step 5: Solve for x
    x = 241,055.10/550.28
  6. Step 6: Final answer
    x = 438.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.