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Finding the Fourth Proportional to 172.64, 257.88 and 114.38

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Solution

The fourth proportional to 172.64, 257.88 and 114.38 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.64 : 257.88 = 114.38 : x
  2. Step 2: Convert to fraction form
    172.64/257.88 = 114.38/x
  3. Step 3: Cross multiply
    172.64x = 257.88 × 114.38
  4. Step 4: Simplify right side
    172.64x = 29,496.31
  5. Step 5: Solve for x
    x = 29,496.31/172.64
  6. Step 6: Final answer
    x = 170.85

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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.