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Finding the Fourth Proportional to 298.94, 445.48 and 290.57

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Solution

The fourth proportional to 298.94, 445.48 and 290.57 is: 433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.94 : 445.48 = 290.57 : x
  2. Step 2: Convert to fraction form
    298.94/445.48 = 290.57/x
  3. Step 3: Cross multiply
    298.94x = 445.48 × 290.57
  4. Step 4: Simplify right side
    298.94x = 129,440.17
  5. Step 5: Solve for x
    x = 129,440.17/298.94
  6. Step 6: Final answer
    x = 433.00

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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.