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Finding the Fourth Proportional to 401.17, 553.39 and 253.75

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Solution

The fourth proportional to 401.17, 553.39 and 253.75 is: 350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.17 : 553.39 = 253.75 : x
  2. Step 2: Convert to fraction form
    401.17/553.39 = 253.75/x
  3. Step 3: Cross multiply
    401.17x = 553.39 × 253.75
  4. Step 4: Simplify right side
    401.17x = 140,422.71
  5. Step 5: Solve for x
    x = 140,422.71/401.17
  6. Step 6: Final answer
    x = 350.03

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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.