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Finding the Fourth Proportional to 173.06, 257.90 and 171.66

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Solution

The fourth proportional to 173.06, 257.90 and 171.66 is: 255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.06 : 257.90 = 171.66 : x
  2. Step 2: Convert to fraction form
    173.06/257.90 = 171.66/x
  3. Step 3: Cross multiply
    173.06x = 257.90 × 171.66
  4. Step 4: Simplify right side
    173.06x = 44,271.11
  5. Step 5: Solve for x
    x = 44,271.11/173.06
  6. Step 6: Final answer
    x = 255.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.