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Finding the Fourth Proportional to 401.87, 554.67 and 254.70

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Solution

The fourth proportional to 401.87, 554.67 and 254.70 is: 351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.87 : 554.67 = 254.70 : x
  2. Step 2: Convert to fraction form
    401.87/554.67 = 254.70/x
  3. Step 3: Cross multiply
    401.87x = 554.67 × 254.70
  4. Step 4: Simplify right side
    401.87x = 141,274.45
  5. Step 5: Solve for x
    x = 141,274.45/401.87
  6. Step 6: Final answer
    x = 351.54

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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.