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Finding the Fourth Proportional to 298.88, 445.38 and 289.08

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Solution

The fourth proportional to 298.88, 445.38 and 289.08 is: 430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.88 : 445.38 = 289.08 : x
  2. Step 2: Convert to fraction form
    298.88/445.38 = 289.08/x
  3. Step 3: Cross multiply
    298.88x = 445.38 × 289.08
  4. Step 4: Simplify right side
    298.88x = 128,750.45
  5. Step 5: Solve for x
    x = 128,750.45/298.88
  6. Step 6: Final answer
    x = 430.78

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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.