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Finding the Fourth Proportional to 338.02, 466.65 and 212.03

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Solution

The fourth proportional to 338.02, 466.65 and 212.03 is: 292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.02 : 466.65 = 212.03 : x
  2. Step 2: Convert to fraction form
    338.02/466.65 = 212.03/x
  3. Step 3: Cross multiply
    338.02x = 466.65 × 212.03
  4. Step 4: Simplify right side
    338.02x = 98,942.74
  5. Step 5: Solve for x
    x = 98,942.74/338.02
  6. Step 6: Final answer
    x = 292.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.