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Finding the Fourth Proportional to 354.79, 489.43 and 305.58

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Solution

The fourth proportional to 354.79, 489.43 and 305.58 is: 421.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.79 : 489.43 = 305.58 : x
  2. Step 2: Convert to fraction form
    354.79/489.43 = 305.58/x
  3. Step 3: Cross multiply
    354.79x = 489.43 × 305.58
  4. Step 4: Simplify right side
    354.79x = 149,559.48
  5. Step 5: Solve for x
    x = 149,559.48/354.79
  6. Step 6: Final answer
    x = 421.55

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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.