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Finding the Fourth Proportional to 620.48, 931.31 and 230.85

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Solution

The fourth proportional to 620.48, 931.31 and 230.85 is: 346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.48 : 931.31 = 230.85 : x
  2. Step 2: Convert to fraction form
    620.48/931.31 = 230.85/x
  3. Step 3: Cross multiply
    620.48x = 931.31 × 230.85
  4. Step 4: Simplify right side
    620.48x = 214,992.91
  5. Step 5: Solve for x
    x = 214,992.91/620.48
  6. Step 6: Final answer
    x = 346.49

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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.