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Finding the Fourth Proportional to 398.56, 597.71 and 120.80

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Solution

The fourth proportional to 398.56, 597.71 and 120.80 is: 181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.56 : 597.71 = 120.80 : x
  2. Step 2: Convert to fraction form
    398.56/597.71 = 120.80/x
  3. Step 3: Cross multiply
    398.56x = 597.71 × 120.80
  4. Step 4: Simplify right side
    398.56x = 72,206.03
  5. Step 5: Solve for x
    x = 72,206.03/398.56
  6. Step 6: Final answer
    x = 181.17

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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.