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Finding the Fourth Proportional to 486.94, 672 and 277.15

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Solution

The fourth proportional to 486.94, 672 and 277.15 is: 382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.94 : 672 = 277.15 : x
  2. Step 2: Convert to fraction form
    486.94/672 = 277.15/x
  3. Step 3: Cross multiply
    486.94x = 672 × 277.15
  4. Step 4: Simplify right side
    486.94x = 186,244.80
  5. Step 5: Solve for x
    x = 186,244.80/486.94
  6. Step 6: Final answer
    x = 382.48

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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.