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Finding the Fourth Proportional to 298.41, 445.92 and 291.57

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Solution

The fourth proportional to 298.41, 445.92 and 291.57 is: 435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.41 : 445.92 = 291.57 : x
  2. Step 2: Convert to fraction form
    298.41/445.92 = 291.57/x
  3. Step 3: Cross multiply
    298.41x = 445.92 × 291.57
  4. Step 4: Simplify right side
    298.41x = 130,016.89
  5. Step 5: Solve for x
    x = 130,016.89/298.41
  6. Step 6: Final answer
    x = 435.70

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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.