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Finding the Fourth Proportional to 338.61, 467.47 and 228.29

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Solution

The fourth proportional to 338.61, 467.47 and 228.29 is: 315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.61 : 467.47 = 228.29 : x
  2. Step 2: Convert to fraction form
    338.61/467.47 = 228.29/x
  3. Step 3: Cross multiply
    338.61x = 467.47 × 228.29
  4. Step 4: Simplify right side
    338.61x = 106,716.67
  5. Step 5: Solve for x
    x = 106,716.67/338.61
  6. Step 6: Final answer
    x = 315.16

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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.