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Finding the Fourth Proportional to 550.37, 759.32 and 314.14

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Solution

The fourth proportional to 550.37, 759.32 and 314.14 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.37 : 759.32 = 314.14 : x
  2. Step 2: Convert to fraction form
    550.37/759.32 = 314.14/x
  3. Step 3: Cross multiply
    550.37x = 759.32 × 314.14
  4. Step 4: Simplify right side
    550.37x = 238,533.11
  5. Step 5: Solve for x
    x = 238,533.11/550.37
  6. Step 6: Final answer
    x = 433.41

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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.