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Finding the Fourth Proportional to 172.48, 257.16 and 158.72

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Solution

The fourth proportional to 172.48, 257.16 and 158.72 is: 236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.48 : 257.16 = 158.72 : x
  2. Step 2: Convert to fraction form
    172.48/257.16 = 158.72/x
  3. Step 3: Cross multiply
    172.48x = 257.16 × 158.72
  4. Step 4: Simplify right side
    172.48x = 40,816.44
  5. Step 5: Solve for x
    x = 40,816.44/172.48
  6. Step 6: Final answer
    x = 236.64

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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.