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Finding the Fourth Proportional to 173.51, 261.54 and 171.08

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Solution

The fourth proportional to 173.51, 261.54 and 171.08 is: 257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.51 : 261.54 = 171.08 : x
  2. Step 2: Convert to fraction form
    173.51/261.54 = 171.08/x
  3. Step 3: Cross multiply
    173.51x = 261.54 × 171.08
  4. Step 4: Simplify right side
    173.51x = 44,742.96
  5. Step 5: Solve for x
    x = 44,742.96/173.51
  6. Step 6: Final answer
    x = 257.88

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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.