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Finding the Fourth Proportional to 338.36, 466.29 and 275.99

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Solution

The fourth proportional to 338.36, 466.29 and 275.99 is: 380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.36 : 466.29 = 275.99 : x
  2. Step 2: Convert to fraction form
    338.36/466.29 = 275.99/x
  3. Step 3: Cross multiply
    338.36x = 466.29 × 275.99
  4. Step 4: Simplify right side
    338.36x = 128,689.05
  5. Step 5: Solve for x
    x = 128,689.05/338.36
  6. Step 6: Final answer
    x = 380.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.