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Finding the Fourth Proportional to 164.90, 245.27 and 150.29

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Solution

The fourth proportional to 164.90, 245.27 and 150.29 is: 223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.90 : 245.27 = 150.29 : x
  2. Step 2: Convert to fraction form
    164.90/245.27 = 150.29/x
  3. Step 3: Cross multiply
    164.90x = 245.27 × 150.29
  4. Step 4: Simplify right side
    164.90x = 36,861.63
  5. Step 5: Solve for x
    x = 36,861.63/164.90
  6. Step 6: Final answer
    x = 223.54

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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.