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Finding the Fourth Proportional to 114.71, 172.73 and 84.49

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Solution

The fourth proportional to 114.71, 172.73 and 84.49 is: 127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.71 : 172.73 = 84.49 : x
  2. Step 2: Convert to fraction form
    114.71/172.73 = 84.49/x
  3. Step 3: Cross multiply
    114.71x = 172.73 × 84.49
  4. Step 4: Simplify right side
    114.71x = 14,592.67
  5. Step 5: Solve for x
    x = 14,592.67/114.71
  6. Step 6: Final answer
    x = 127.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.