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Finding the Fourth Proportional to 289.58, 434.63 and 198.05

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Solution

The fourth proportional to 289.58, 434.63 and 198.05 is: 297.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.58 : 434.63 = 198.05 : x
  2. Step 2: Convert to fraction form
    289.58/434.63 = 198.05/x
  3. Step 3: Cross multiply
    289.58x = 434.63 × 198.05
  4. Step 4: Simplify right side
    289.58x = 86,076.79
  5. Step 5: Solve for x
    x = 86,076.79/289.58
  6. Step 6: Final answer
    x = 297.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.