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Finding the Fourth Proportional to 344.48, 473.20 and 285.92

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Solution

The fourth proportional to 344.48, 473.20 and 285.92 is: 392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.48 : 473.20 = 285.92 : x
  2. Step 2: Convert to fraction form
    344.48/473.20 = 285.92/x
  3. Step 3: Cross multiply
    344.48x = 473.20 × 285.92
  4. Step 4: Simplify right side
    344.48x = 135,297.34
  5. Step 5: Solve for x
    x = 135,297.34/344.48
  6. Step 6: Final answer
    x = 392.76

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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.