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Finding the Fourth Proportional to 289.02, 399.05 and 190.98

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Solution

The fourth proportional to 289.02, 399.05 and 190.98 is: 263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 399.05 = 190.98 : x
  2. Step 2: Convert to fraction form
    289.02/399.05 = 190.98/x
  3. Step 3: Cross multiply
    289.02x = 399.05 × 190.98
  4. Step 4: Simplify right side
    289.02x = 76,211.05
  5. Step 5: Solve for x
    x = 76,211.05/289.02
  6. Step 6: Final answer
    x = 263.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.