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Finding the Fourth Proportional to 289.85, 399.96 and 158.85

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Solution

The fourth proportional to 289.85, 399.96 and 158.85 is: 219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.85 : 399.96 = 158.85 : x
  2. Step 2: Convert to fraction form
    289.85/399.96 = 158.85/x
  3. Step 3: Cross multiply
    289.85x = 399.96 × 158.85
  4. Step 4: Simplify right side
    289.85x = 63,533.65
  5. Step 5: Solve for x
    x = 63,533.65/289.85
  6. Step 6: Final answer
    x = 219.20

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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.