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Finding the Fourth Proportional to 354.96, 489.40 and 230.44

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Solution

The fourth proportional to 354.96, 489.40 and 230.44 is: 317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.96 : 489.40 = 230.44 : x
  2. Step 2: Convert to fraction form
    354.96/489.40 = 230.44/x
  3. Step 3: Cross multiply
    354.96x = 489.40 × 230.44
  4. Step 4: Simplify right side
    354.96x = 112,777.34
  5. Step 5: Solve for x
    x = 112,777.34/354.96
  6. Step 6: Final answer
    x = 317.72

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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.