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Finding the Fourth Proportional to 298.76, 445.61 and 289.64

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Solution

The fourth proportional to 298.76, 445.61 and 289.64 is: 432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.76 : 445.61 = 289.64 : x
  2. Step 2: Convert to fraction form
    298.76/445.61 = 289.64/x
  3. Step 3: Cross multiply
    298.76x = 445.61 × 289.64
  4. Step 4: Simplify right side
    298.76x = 129,068.32
  5. Step 5: Solve for x
    x = 129,068.32/298.76
  6. Step 6: Final answer
    x = 432.02

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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.