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Finding the Fourth Proportional to 394.70, 543.53 and 270.23

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Solution

The fourth proportional to 394.70, 543.53 and 270.23 is: 372.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.70 : 543.53 = 270.23 : x
  2. Step 2: Convert to fraction form
    394.70/543.53 = 270.23/x
  3. Step 3: Cross multiply
    394.70x = 543.53 × 270.23
  4. Step 4: Simplify right side
    394.70x = 146,876.76
  5. Step 5: Solve for x
    x = 146,876.76/394.70
  6. Step 6: Final answer
    x = 372.12

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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.