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Finding the Fourth Proportional to 397.20, 594.84 and 351.60

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Solution

The fourth proportional to 397.20, 594.84 and 351.60 is: 526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.20 : 594.84 = 351.60 : x
  2. Step 2: Convert to fraction form
    397.20/594.84 = 351.60/x
  3. Step 3: Cross multiply
    397.20x = 594.84 × 351.60
  4. Step 4: Simplify right side
    397.20x = 209,145.74
  5. Step 5: Solve for x
    x = 209,145.74/397.20
  6. Step 6: Final answer
    x = 526.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.