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Finding the Fourth Proportional to 338.40, 505.79 and 265.50

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Solution

The fourth proportional to 338.40, 505.79 and 265.50 is: 396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.40 : 505.79 = 265.50 : x
  2. Step 2: Convert to fraction form
    338.40/505.79 = 265.50/x
  3. Step 3: Cross multiply
    338.40x = 505.79 × 265.50
  4. Step 4: Simplify right side
    338.40x = 134,285.92
  5. Step 5: Solve for x
    x = 134,285.92/338.40
  6. Step 6: Final answer
    x = 396.83

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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.