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Finding the Fourth Proportional to 338.00, 508.21 and 277.25

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Solution

The fourth proportional to 338.00, 508.21 and 277.25 is: 416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.00 : 508.21 = 277.25 : x
  2. Step 2: Convert to fraction form
    338.00/508.21 = 277.25/x
  3. Step 3: Cross multiply
    338.00x = 508.21 × 277.25
  4. Step 4: Simplify right side
    338.00x = 140,897.99
  5. Step 5: Solve for x
    x = 140,897.99/338.00
  6. Step 6: Final answer
    x = 416.86

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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.