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Finding the Fourth Proportional to 401.00, 553.43 and 253.68

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Solution

The fourth proportional to 401.00, 553.43 and 253.68 is: 350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.00 : 553.43 = 253.68 : x
  2. Step 2: Convert to fraction form
    401.00/553.43 = 253.68/x
  3. Step 3: Cross multiply
    401.00x = 553.43 × 253.68
  4. Step 4: Simplify right side
    401.00x = 140,392.68
  5. Step 5: Solve for x
    x = 140,392.68/401.00
  6. Step 6: Final answer
    x = 350.11

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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.