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Finding the Fourth Proportional to 209.58, 315.62 and 182.86

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Solution

The fourth proportional to 209.58, 315.62 and 182.86 is: 275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.58 : 315.62 = 182.86 : x
  2. Step 2: Convert to fraction form
    209.58/315.62 = 182.86/x
  3. Step 3: Cross multiply
    209.58x = 315.62 × 182.86
  4. Step 4: Simplify right side
    209.58x = 57,714.27
  5. Step 5: Solve for x
    x = 57,714.27/209.58
  6. Step 6: Final answer
    x = 275.38

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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.