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Finding the Fourth Proportional to 289.77, 434.54 and 198.50

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Solution

The fourth proportional to 289.77, 434.54 and 198.50 is: 297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.77 : 434.54 = 198.50 : x
  2. Step 2: Convert to fraction form
    289.77/434.54 = 198.50/x
  3. Step 3: Cross multiply
    289.77x = 434.54 × 198.50
  4. Step 4: Simplify right side
    289.77x = 86,253.02
  5. Step 5: Solve for x
    x = 86,253.02/289.77
  6. Step 6: Final answer
    x = 297.66

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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.