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Finding the Fourth Proportional to 401.02, 552.81 and 245.50

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Solution

The fourth proportional to 401.02, 552.81 and 245.50 is: 338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.02 : 552.81 = 245.50 : x
  2. Step 2: Convert to fraction form
    401.02/552.81 = 245.50/x
  3. Step 3: Cross multiply
    401.02x = 552.81 × 245.50
  4. Step 4: Simplify right side
    401.02x = 135,714.86
  5. Step 5: Solve for x
    x = 135,714.86/401.02
  6. Step 6: Final answer
    x = 338.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.