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Finding the Fourth Proportional to 172.67, 257.46 and 165.47

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Solution

The fourth proportional to 172.67, 257.46 and 165.47 is: 246.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.67 : 257.46 = 165.47 : x
  2. Step 2: Convert to fraction form
    172.67/257.46 = 165.47/x
  3. Step 3: Cross multiply
    172.67x = 257.46 × 165.47
  4. Step 4: Simplify right side
    172.67x = 42,600.00
  5. Step 5: Solve for x
    x = 42,600.00/172.67
  6. Step 6: Final answer
    x = 246.72

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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.