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Finding the Fourth Proportional to 394.52, 541.09 and 384.76

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Solution

The fourth proportional to 394.52, 541.09 and 384.76 is: 527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.52 : 541.09 = 384.76 : x
  2. Step 2: Convert to fraction form
    394.52/541.09 = 384.76/x
  3. Step 3: Cross multiply
    394.52x = 541.09 × 384.76
  4. Step 4: Simplify right side
    394.52x = 208,189.79
  5. Step 5: Solve for x
    x = 208,189.79/394.52
  6. Step 6: Final answer
    x = 527.70

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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.