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Finding the Fourth Proportional to 164.90, 248.43 and 158.21

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Solution

The fourth proportional to 164.90, 248.43 and 158.21 is: 238.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.90 : 248.43 = 158.21 : x
  2. Step 2: Convert to fraction form
    164.90/248.43 = 158.21/x
  3. Step 3: Cross multiply
    164.90x = 248.43 × 158.21
  4. Step 4: Simplify right side
    164.90x = 39,302.87
  5. Step 5: Solve for x
    x = 39,302.87/164.90
  6. Step 6: Final answer
    x = 238.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.