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Finding the Fourth Proportional to 277.60, 382.98 and 257.80

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Solution

The fourth proportional to 277.60, 382.98 and 257.80 is: 355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 382.98 = 257.80 : x
  2. Step 2: Convert to fraction form
    277.60/382.98 = 257.80/x
  3. Step 3: Cross multiply
    277.60x = 382.98 × 257.80
  4. Step 4: Simplify right side
    277.60x = 98,732.24
  5. Step 5: Solve for x
    x = 98,732.24/277.60
  6. Step 6: Final answer
    x = 355.66

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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.