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Finding the Fourth Proportional to 164.50, 245.27 and 158.57

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Solution

The fourth proportional to 164.50, 245.27 and 158.57 is: 236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.50 : 245.27 = 158.57 : x
  2. Step 2: Convert to fraction form
    164.50/245.27 = 158.57/x
  3. Step 3: Cross multiply
    164.50x = 245.27 × 158.57
  4. Step 4: Simplify right side
    164.50x = 38,890.44
  5. Step 5: Solve for x
    x = 38,890.44/164.50
  6. Step 6: Final answer
    x = 236.42

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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.