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Finding the Fourth Proportional to 387.88, 582.23 and 182.64

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Solution

The fourth proportional to 387.88, 582.23 and 182.64 is: 274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.88 : 582.23 = 182.64 : x
  2. Step 2: Convert to fraction form
    387.88/582.23 = 182.64/x
  3. Step 3: Cross multiply
    387.88x = 582.23 × 182.64
  4. Step 4: Simplify right side
    387.88x = 106,338.94
  5. Step 5: Solve for x
    x = 106,338.94/387.88
  6. Step 6: Final answer
    x = 274.16

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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.