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Finding the Fourth Proportional to 172.30, 257.18 and 157.86

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Solution

The fourth proportional to 172.30, 257.18 and 157.86 is: 235.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.30 : 257.18 = 157.86 : x
  2. Step 2: Convert to fraction form
    172.30/257.18 = 157.86/x
  3. Step 3: Cross multiply
    172.30x = 257.18 × 157.86
  4. Step 4: Simplify right side
    172.30x = 40,598.43
  5. Step 5: Solve for x
    x = 40,598.43/172.30
  6. Step 6: Final answer
    x = 235.63

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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.