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Finding the Fourth Proportional to 368.31, 508.47 and 338.67

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Solution

The fourth proportional to 368.31, 508.47 and 338.67 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.31 : 508.47 = 338.67 : x
  2. Step 2: Convert to fraction form
    368.31/508.47 = 338.67/x
  3. Step 3: Cross multiply
    368.31x = 508.47 × 338.67
  4. Step 4: Simplify right side
    368.31x = 172,202.26
  5. Step 5: Solve for x
    x = 172,202.26/368.31
  6. Step 6: Final answer
    x = 467.54

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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.