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Finding the Fourth Proportional to 394.84, 545.00 and 270.68

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Solution

The fourth proportional to 394.84, 545.00 and 270.68 is: 373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.84 : 545.00 = 270.68 : x
  2. Step 2: Convert to fraction form
    394.84/545.00 = 270.68/x
  3. Step 3: Cross multiply
    394.84x = 545.00 × 270.68
  4. Step 4: Simplify right side
    394.84x = 147,521.10
  5. Step 5: Solve for x
    x = 147,521.10/394.84
  6. Step 6: Final answer
    x = 373.63

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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.