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Finding the Fourth Proportional to 338.14, 505.03 and 276.58

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Solution

The fourth proportional to 338.14, 505.03 and 276.58 is: 413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.14 : 505.03 = 276.58 : x
  2. Step 2: Convert to fraction form
    338.14/505.03 = 276.58/x
  3. Step 3: Cross multiply
    338.14x = 505.03 × 276.58
  4. Step 4: Simplify right side
    338.14x = 139,681.20
  5. Step 5: Solve for x
    x = 139,681.20/338.14
  6. Step 6: Final answer
    x = 413.09

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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.