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Finding the Fourth Proportional to 164.52, 245.52 and 162.09

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Solution

The fourth proportional to 164.52, 245.52 and 162.09 is: 241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.52 : 245.52 = 162.09 : x
  2. Step 2: Convert to fraction form
    164.52/245.52 = 162.09/x
  3. Step 3: Cross multiply
    164.52x = 245.52 × 162.09
  4. Step 4: Simplify right side
    164.52x = 39,796.34
  5. Step 5: Solve for x
    x = 39,796.34/164.52
  6. Step 6: Final answer
    x = 241.89

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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.