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Finding the Fourth Proportional to 338.56, 505.64 and 270.16

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Solution

The fourth proportional to 338.56, 505.64 and 270.16 is: 403.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.56 : 505.64 = 270.16 : x
  2. Step 2: Convert to fraction form
    338.56/505.64 = 270.16/x
  3. Step 3: Cross multiply
    338.56x = 505.64 × 270.16
  4. Step 4: Simplify right side
    338.56x = 136,603.70
  5. Step 5: Solve for x
    x = 136,603.70/338.56
  6. Step 6: Final answer
    x = 403.48

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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.