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Finding the Fourth Proportional to 172.48, 257.07 and 172.22

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Solution

The fourth proportional to 172.48, 257.07 and 172.22 is: 256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.48 : 257.07 = 172.22 : x
  2. Step 2: Convert to fraction form
    172.48/257.07 = 172.22/x
  3. Step 3: Cross multiply
    172.48x = 257.07 × 172.22
  4. Step 4: Simplify right side
    172.48x = 44,272.60
  5. Step 5: Solve for x
    x = 44,272.60/172.48
  6. Step 6: Final answer
    x = 256.68

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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.