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Finding the Fourth Proportional to 338.41, 509.59 and 295.60

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Solution

The fourth proportional to 338.41, 509.59 and 295.60 is: 445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.41 : 509.59 = 295.60 : x
  2. Step 2: Convert to fraction form
    338.41/509.59 = 295.60/x
  3. Step 3: Cross multiply
    338.41x = 509.59 × 295.60
  4. Step 4: Simplify right side
    338.41x = 150,630.78
  5. Step 5: Solve for x
    x = 150,630.78/338.41
  6. Step 6: Final answer
    x = 445.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.