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Finding the Fourth Proportional to 541.14, 814.60 and 388.14

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Solution

The fourth proportional to 541.14, 814.60 and 388.14 is: 584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.14 : 814.60 = 388.14 : x
  2. Step 2: Convert to fraction form
    541.14/814.60 = 388.14/x
  3. Step 3: Cross multiply
    541.14x = 814.60 × 388.14
  4. Step 4: Simplify right side
    541.14x = 316,178.84
  5. Step 5: Solve for x
    x = 316,178.84/541.14
  6. Step 6: Final answer
    x = 584.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.