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Finding the Fourth Proportional to 338.21, 504.72 and 301.76

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Solution

The fourth proportional to 338.21, 504.72 and 301.76 is: 450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.21 : 504.72 = 301.76 : x
  2. Step 2: Convert to fraction form
    338.21/504.72 = 301.76/x
  3. Step 3: Cross multiply
    338.21x = 504.72 × 301.76
  4. Step 4: Simplify right side
    338.21x = 152,301.78
  5. Step 5: Solve for x
    x = 152,301.78/338.21
  6. Step 6: Final answer
    x = 450.32

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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.