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Finding the Fourth Proportional to 397.80, 597.60 and 276.30

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Solution

The fourth proportional to 397.80, 597.60 and 276.30 is: 415.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.80 : 597.60 = 276.30 : x
  2. Step 2: Convert to fraction form
    397.80/597.60 = 276.30/x
  3. Step 3: Cross multiply
    397.80x = 597.60 × 276.30
  4. Step 4: Simplify right side
    397.80x = 165,116.88
  5. Step 5: Solve for x
    x = 165,116.88/397.80
  6. Step 6: Final answer
    x = 415.08

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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.