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Finding the Fourth Proportional to 393.60, 587.04 and 354.72

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Solution

The fourth proportional to 393.60, 587.04 and 354.72 is: 529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.60 : 587.04 = 354.72 : x
  2. Step 2: Convert to fraction form
    393.60/587.04 = 354.72/x
  3. Step 3: Cross multiply
    393.60x = 587.04 × 354.72
  4. Step 4: Simplify right side
    393.60x = 208,234.83
  5. Step 5: Solve for x
    x = 208,234.83/393.60
  6. Step 6: Final answer
    x = 529.05

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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.