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Finding the Fourth Proportional to 338.88, 509.12 and 290.28

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Solution

The fourth proportional to 338.88, 509.12 and 290.28 is: 436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 509.12 = 290.28 : x
  2. Step 2: Convert to fraction form
    338.88/509.12 = 290.28/x
  3. Step 3: Cross multiply
    338.88x = 509.12 × 290.28
  4. Step 4: Simplify right side
    338.88x = 147,787.35
  5. Step 5: Solve for x
    x = 147,787.35/338.88
  6. Step 6: Final answer
    x = 436.11

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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.