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Finding the Fourth Proportional to 339.66, 508.92 and 295.84

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Solution

The fourth proportional to 339.66, 508.92 and 295.84 is: 443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.66 : 508.92 = 295.84 : x
  2. Step 2: Convert to fraction form
    339.66/508.92 = 295.84/x
  3. Step 3: Cross multiply
    339.66x = 508.92 × 295.84
  4. Step 4: Simplify right side
    339.66x = 150,558.89
  5. Step 5: Solve for x
    x = 150,558.89/339.66
  6. Step 6: Final answer
    x = 443.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.