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Finding the Fourth Proportional to 391.84, 541.24 and 345.38

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Solution

The fourth proportional to 391.84, 541.24 and 345.38 is: 477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.84 : 541.24 = 345.38 : x
  2. Step 2: Convert to fraction form
    391.84/541.24 = 345.38/x
  3. Step 3: Cross multiply
    391.84x = 541.24 × 345.38
  4. Step 4: Simplify right side
    391.84x = 186,933.47
  5. Step 5: Solve for x
    x = 186,933.47/391.84
  6. Step 6: Final answer
    x = 477.07

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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.