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Finding the Fourth Proportional to 165.51, 248.28 and 124.80

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Solution

The fourth proportional to 165.51, 248.28 and 124.80 is: 187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.51 : 248.28 = 124.80 : x
  2. Step 2: Convert to fraction form
    165.51/248.28 = 124.80/x
  3. Step 3: Cross multiply
    165.51x = 248.28 × 124.80
  4. Step 4: Simplify right side
    165.51x = 30,985.34
  5. Step 5: Solve for x
    x = 30,985.34/165.51
  6. Step 6: Final answer
    x = 187.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.