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Finding the Fourth Proportional to 165.51, 227.07 and 157.14

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Solution

The fourth proportional to 165.51, 227.07 and 157.14 is: 215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.51 : 227.07 = 157.14 : x
  2. Step 2: Convert to fraction form
    165.51/227.07 = 157.14/x
  3. Step 3: Cross multiply
    165.51x = 227.07 × 157.14
  4. Step 4: Simplify right side
    165.51x = 35,681.78
  5. Step 5: Solve for x
    x = 35,681.78/165.51
  6. Step 6: Final answer
    x = 215.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.