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Finding the Fourth Proportional to 393.78, 587.92 and 354.90

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Solution

The fourth proportional to 393.78, 587.92 and 354.90 is: 529.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.78 : 587.92 = 354.90 : x
  2. Step 2: Convert to fraction form
    393.78/587.92 = 354.90/x
  3. Step 3: Cross multiply
    393.78x = 587.92 × 354.90
  4. Step 4: Simplify right side
    393.78x = 208,652.81
  5. Step 5: Solve for x
    x = 208,652.81/393.78
  6. Step 6: Final answer
    x = 529.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.