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Finding the Fourth Proportional to 277.30, 382.71 and 172.43

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Solution

The fourth proportional to 277.30, 382.71 and 172.43 is: 237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.30 : 382.71 = 172.43 : x
  2. Step 2: Convert to fraction form
    277.30/382.71 = 172.43/x
  3. Step 3: Cross multiply
    277.30x = 382.71 × 172.43
  4. Step 4: Simplify right side
    277.30x = 65,990.85
  5. Step 5: Solve for x
    x = 65,990.85/277.30
  6. Step 6: Final answer
    x = 237.98

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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.