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Finding the Fourth Proportional to 172.25, 237.71 and 94.63

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Solution

The fourth proportional to 172.25, 237.71 and 94.63 is: 130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.25 : 237.71 = 94.63 : x
  2. Step 2: Convert to fraction form
    172.25/237.71 = 94.63/x
  3. Step 3: Cross multiply
    172.25x = 237.71 × 94.63
  4. Step 4: Simplify right side
    172.25x = 22,492.84
  5. Step 5: Solve for x
    x = 22,492.84/172.25
  6. Step 6: Final answer
    x = 130.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.