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Finding the Fourth Proportional to 394.88, 545.36 and 277.16

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Solution

The fourth proportional to 394.88, 545.36 and 277.16 is: 382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.88 : 545.36 = 277.16 : x
  2. Step 2: Convert to fraction form
    394.88/545.36 = 277.16/x
  3. Step 3: Cross multiply
    394.88x = 545.36 × 277.16
  4. Step 4: Simplify right side
    394.88x = 151,147.87
  5. Step 5: Solve for x
    x = 151,147.87/394.88
  6. Step 6: Final answer
    x = 382.77

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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.