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Finding the Fourth Proportional to 172.71, 257.52 and 170.58

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Solution

The fourth proportional to 172.71, 257.52 and 170.58 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.71 : 257.52 = 170.58 : x
  2. Step 2: Convert to fraction form
    172.71/257.52 = 170.58/x
  3. Step 3: Cross multiply
    172.71x = 257.52 × 170.58
  4. Step 4: Simplify right side
    172.71x = 43,927.76
  5. Step 5: Solve for x
    x = 43,927.76/172.71
  6. Step 6: Final answer
    x = 254.34

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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.