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Finding the Fourth Proportional to 364.89, 550.38 and 319.74

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Solution

The fourth proportional to 364.89, 550.38 and 319.74 is: 482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.89 : 550.38 = 319.74 : x
  2. Step 2: Convert to fraction form
    364.89/550.38 = 319.74/x
  3. Step 3: Cross multiply
    364.89x = 550.38 × 319.74
  4. Step 4: Simplify right side
    364.89x = 175,978.50
  5. Step 5: Solve for x
    x = 175,978.50/364.89
  6. Step 6: Final answer
    x = 482.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.