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Finding the Fourth Proportional to 171.23, 257.77 and 156.35

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Solution

The fourth proportional to 171.23, 257.77 and 156.35 is: 235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.23 : 257.77 = 156.35 : x
  2. Step 2: Convert to fraction form
    171.23/257.77 = 156.35/x
  3. Step 3: Cross multiply
    171.23x = 257.77 × 156.35
  4. Step 4: Simplify right side
    171.23x = 40,302.34
  5. Step 5: Solve for x
    x = 40,302.34/171.23
  6. Step 6: Final answer
    x = 235.37

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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.