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Finding the Fourth Proportional to 339.80, 466.16 and 318.83

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Solution

The fourth proportional to 339.80, 466.16 and 318.83 is: 437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.80 : 466.16 = 318.83 : x
  2. Step 2: Convert to fraction form
    339.80/466.16 = 318.83/x
  3. Step 3: Cross multiply
    339.80x = 466.16 × 318.83
  4. Step 4: Simplify right side
    339.80x = 148,621.87
  5. Step 5: Solve for x
    x = 148,621.87/339.80
  6. Step 6: Final answer
    x = 437.39

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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.