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Finding the Fourth Proportional to 338.15, 466.58 and 213.98

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Solution

The fourth proportional to 338.15, 466.58 and 213.98 is: 295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.15 : 466.58 = 213.98 : x
  2. Step 2: Convert to fraction form
    338.15/466.58 = 213.98/x
  3. Step 3: Cross multiply
    338.15x = 466.58 × 213.98
  4. Step 4: Simplify right side
    338.15x = 99,838.79
  5. Step 5: Solve for x
    x = 99,838.79/338.15
  6. Step 6: Final answer
    x = 295.25

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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.