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Finding the Fourth Proportional to 394.93, 545.18 and 277.07

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Solution

The fourth proportional to 394.93, 545.18 and 277.07 is: 382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.93 : 545.18 = 277.07 : x
  2. Step 2: Convert to fraction form
    394.93/545.18 = 277.07/x
  3. Step 3: Cross multiply
    394.93x = 545.18 × 277.07
  4. Step 4: Simplify right side
    394.93x = 151,053.54
  5. Step 5: Solve for x
    x = 151,053.54/394.93
  6. Step 6: Final answer
    x = 382.49

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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.