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Finding the Fourth Proportional to 386.76, 582.59 and 381.72

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Solution

The fourth proportional to 386.76, 582.59 and 381.72 is: 575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.76 : 582.59 = 381.72 : x
  2. Step 2: Convert to fraction form
    386.76/582.59 = 381.72/x
  3. Step 3: Cross multiply
    386.76x = 582.59 × 381.72
  4. Step 4: Simplify right side
    386.76x = 222,386.25
  5. Step 5: Solve for x
    x = 222,386.25/386.76
  6. Step 6: Final answer
    x = 575.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.