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Finding the Fourth Proportional to 392.89, 541.55 and 345.96

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Solution

The fourth proportional to 392.89, 541.55 and 345.96 is: 476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.89 : 541.55 = 345.96 : x
  2. Step 2: Convert to fraction form
    392.89/541.55 = 345.96/x
  3. Step 3: Cross multiply
    392.89x = 541.55 × 345.96
  4. Step 4: Simplify right side
    392.89x = 187,355.50
  5. Step 5: Solve for x
    x = 187,355.50/392.89
  6. Step 6: Final answer
    x = 476.87

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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.