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Finding the Fourth Proportional to 298.98, 412.79 and 188.42

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Solution

The fourth proportional to 298.98, 412.79 and 188.42 is: 260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.98 : 412.79 = 188.42 : x
  2. Step 2: Convert to fraction form
    298.98/412.79 = 188.42/x
  3. Step 3: Cross multiply
    298.98x = 412.79 × 188.42
  4. Step 4: Simplify right side
    298.98x = 77,774.89
  5. Step 5: Solve for x
    x = 77,774.89/298.98
  6. Step 6: Final answer
    x = 260.13

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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.