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Finding the Fourth Proportional to 338.56, 464.18 and 332.08

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Solution

The fourth proportional to 338.56, 464.18 and 332.08 is: 455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.56 : 464.18 = 332.08 : x
  2. Step 2: Convert to fraction form
    338.56/464.18 = 332.08/x
  3. Step 3: Cross multiply
    338.56x = 464.18 × 332.08
  4. Step 4: Simplify right side
    338.56x = 154,144.89
  5. Step 5: Solve for x
    x = 154,144.89/338.56
  6. Step 6: Final answer
    x = 455.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.