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Finding the Fourth Proportional to 209.17, 312.65 and 188.56

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Solution

The fourth proportional to 209.17, 312.65 and 188.56 is: 281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.17 : 312.65 = 188.56 : x
  2. Step 2: Convert to fraction form
    209.17/312.65 = 188.56/x
  3. Step 3: Cross multiply
    209.17x = 312.65 × 188.56
  4. Step 4: Simplify right side
    209.17x = 58,952.34
  5. Step 5: Solve for x
    x = 58,952.34/209.17
  6. Step 6: Final answer
    x = 281.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.