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Finding the Fourth Proportional to 172.98, 257.81 and 172.71

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Solution

The fourth proportional to 172.98, 257.81 and 172.71 is: 257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.98 : 257.81 = 172.71 : x
  2. Step 2: Convert to fraction form
    172.98/257.81 = 172.71/x
  3. Step 3: Cross multiply
    172.98x = 257.81 × 172.71
  4. Step 4: Simplify right side
    172.98x = 44,526.37
  5. Step 5: Solve for x
    x = 44,526.37/172.98
  6. Step 6: Final answer
    x = 257.41

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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.