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Finding the Fourth Proportional to 398.86, 598.44 and 182.29

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Solution

The fourth proportional to 398.86, 598.44 and 182.29 is: 273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.86 : 598.44 = 182.29 : x
  2. Step 2: Convert to fraction form
    398.86/598.44 = 182.29/x
  3. Step 3: Cross multiply
    398.86x = 598.44 × 182.29
  4. Step 4: Simplify right side
    398.86x = 109,089.63
  5. Step 5: Solve for x
    x = 109,089.63/398.86
  6. Step 6: Final answer
    x = 273.50

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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.