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Finding the Fourth Proportional to 270.87, 403.93 and 264.39

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Solution

The fourth proportional to 270.87, 403.93 and 264.39 is: 394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.87 : 403.93 = 264.39 : x
  2. Step 2: Convert to fraction form
    270.87/403.93 = 264.39/x
  3. Step 3: Cross multiply
    270.87x = 403.93 × 264.39
  4. Step 4: Simplify right side
    270.87x = 106,795.05
  5. Step 5: Solve for x
    x = 106,795.05/270.87
  6. Step 6: Final answer
    x = 394.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.