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Finding the Fourth Proportional to 171.40, 258.04 and 156.28

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Solution

The fourth proportional to 171.40, 258.04 and 156.28 is: 235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.40 : 258.04 = 156.28 : x
  2. Step 2: Convert to fraction form
    171.40/258.04 = 156.28/x
  3. Step 3: Cross multiply
    171.40x = 258.04 × 156.28
  4. Step 4: Simplify right side
    171.40x = 40,326.49
  5. Step 5: Solve for x
    x = 40,326.49/171.40
  6. Step 6: Final answer
    x = 235.28

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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.