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Finding the Fourth Proportional to 444.89, 613.90 and 258.38

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Solution

The fourth proportional to 444.89, 613.90 and 258.38 is: 356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.89 : 613.90 = 258.38 : x
  2. Step 2: Convert to fraction form
    444.89/613.90 = 258.38/x
  3. Step 3: Cross multiply
    444.89x = 613.90 × 258.38
  4. Step 4: Simplify right side
    444.89x = 158,618.19
  5. Step 5: Solve for x
    x = 158,618.19/444.89
  6. Step 6: Final answer
    x = 356.54

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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.