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Finding the Fourth Proportional to 298.79, 412.32 and 188.29

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Solution

The fourth proportional to 298.79, 412.32 and 188.29 is: 259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.79 : 412.32 = 188.29 : x
  2. Step 2: Convert to fraction form
    298.79/412.32 = 188.29/x
  3. Step 3: Cross multiply
    298.79x = 412.32 × 188.29
  4. Step 4: Simplify right side
    298.79x = 77,635.73
  5. Step 5: Solve for x
    x = 77,635.73/298.79
  6. Step 6: Final answer
    x = 259.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.