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Finding the Fourth Proportional to 320.87, 481.94 and 277.02

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Solution

The fourth proportional to 320.87, 481.94 and 277.02 is: 416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.87 : 481.94 = 277.02 : x
  2. Step 2: Convert to fraction form
    320.87/481.94 = 277.02/x
  3. Step 3: Cross multiply
    320.87x = 481.94 × 277.02
  4. Step 4: Simplify right side
    320.87x = 133,506.28
  5. Step 5: Solve for x
    x = 133,506.28/320.87
  6. Step 6: Final answer
    x = 416.07

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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.