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Finding the Fourth Proportional to 394.06, 587.65 and 345.54

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Solution

The fourth proportional to 394.06, 587.65 and 345.54 is: 515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.06 : 587.65 = 345.54 : x
  2. Step 2: Convert to fraction form
    394.06/587.65 = 345.54/x
  3. Step 3: Cross multiply
    394.06x = 587.65 × 345.54
  4. Step 4: Simplify right side
    394.06x = 203,056.58
  5. Step 5: Solve for x
    x = 203,056.58/394.06
  6. Step 6: Final answer
    x = 515.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.