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Finding the Fourth Proportional to 394.92, 542.76 and 370.44

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Solution

The fourth proportional to 394.92, 542.76 and 370.44 is: 509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.92 : 542.76 = 370.44 : x
  2. Step 2: Convert to fraction form
    394.92/542.76 = 370.44/x
  3. Step 3: Cross multiply
    394.92x = 542.76 × 370.44
  4. Step 4: Simplify right side
    394.92x = 201,060.01
  5. Step 5: Solve for x
    x = 201,060.01/394.92
  6. Step 6: Final answer
    x = 509.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.