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Finding the Fourth Proportional to 277.32, 382.73 and 166.80

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Solution

The fourth proportional to 277.32, 382.73 and 166.80 is: 230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 382.73 = 166.80 : x
  2. Step 2: Convert to fraction form
    277.32/382.73 = 166.80/x
  3. Step 3: Cross multiply
    277.32x = 382.73 × 166.80
  4. Step 4: Simplify right side
    277.32x = 63,838.14
  5. Step 5: Solve for x
    x = 63,838.14/277.32
  6. Step 6: Final answer
    x = 230.19

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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.