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Finding the Fourth Proportional to 340.96, 508.73 and 308.56

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Solution

The fourth proportional to 340.96, 508.73 and 308.56 is: 460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.96 : 508.73 = 308.56 : x
  2. Step 2: Convert to fraction form
    340.96/508.73 = 308.56/x
  3. Step 3: Cross multiply
    340.96x = 508.73 × 308.56
  4. Step 4: Simplify right side
    340.96x = 156,973.73
  5. Step 5: Solve for x
    x = 156,973.73/340.96
  6. Step 6: Final answer
    x = 460.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.