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Finding the Fourth Proportional to 397.76, 596.40 and 205.28

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Solution

The fourth proportional to 397.76, 596.40 and 205.28 is: 307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.76 : 596.40 = 205.28 : x
  2. Step 2: Convert to fraction form
    397.76/596.40 = 205.28/x
  3. Step 3: Cross multiply
    397.76x = 596.40 × 205.28
  4. Step 4: Simplify right side
    397.76x = 122,428.99
  5. Step 5: Solve for x
    x = 122,428.99/397.76
  6. Step 6: Final answer
    x = 307.80

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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.