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Finding the Fourth Proportional to 338.52, 466.93 and 213.98

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Solution

The fourth proportional to 338.52, 466.93 and 213.98 is: 295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.52 : 466.93 = 213.98 : x
  2. Step 2: Convert to fraction form
    338.52/466.93 = 213.98/x
  3. Step 3: Cross multiply
    338.52x = 466.93 × 213.98
  4. Step 4: Simplify right side
    338.52x = 99,913.68
  5. Step 5: Solve for x
    x = 99,913.68/338.52
  6. Step 6: Final answer
    x = 295.15

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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.