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Finding the Fourth Proportional to 277.49, 382.92 and 159.48

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Solution

The fourth proportional to 277.49, 382.92 and 159.48 is: 220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.49 : 382.92 = 159.48 : x
  2. Step 2: Convert to fraction form
    277.49/382.92 = 159.48/x
  3. Step 3: Cross multiply
    277.49x = 382.92 × 159.48
  4. Step 4: Simplify right side
    277.49x = 61,068.08
  5. Step 5: Solve for x
    x = 61,068.08/277.49
  6. Step 6: Final answer
    x = 220.07

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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.