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Finding the Fourth Proportional to 386.58, 580.94 and 291.54

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Solution

The fourth proportional to 386.58, 580.94 and 291.54 is: 438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.58 : 580.94 = 291.54 : x
  2. Step 2: Convert to fraction form
    386.58/580.94 = 291.54/x
  3. Step 3: Cross multiply
    386.58x = 580.94 × 291.54
  4. Step 4: Simplify right side
    386.58x = 169,367.25
  5. Step 5: Solve for x
    x = 169,367.25/386.58
  6. Step 6: Final answer
    x = 438.12

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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.