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Finding the Fourth Proportional to 393.60, 541.28 and 315.84

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Solution

The fourth proportional to 393.60, 541.28 and 315.84 is: 434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.60 : 541.28 = 315.84 : x
  2. Step 2: Convert to fraction form
    393.60/541.28 = 315.84/x
  3. Step 3: Cross multiply
    393.60x = 541.28 × 315.84
  4. Step 4: Simplify right side
    393.60x = 170,957.88
  5. Step 5: Solve for x
    x = 170,957.88/393.60
  6. Step 6: Final answer
    x = 434.34

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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.