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Finding the Fourth Proportional to 401.72, 554.70 and 319.28

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Solution

The fourth proportional to 401.72, 554.70 and 319.28 is: 440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.72 : 554.70 = 319.28 : x
  2. Step 2: Convert to fraction form
    401.72/554.70 = 319.28/x
  3. Step 3: Cross multiply
    401.72x = 554.70 × 319.28
  4. Step 4: Simplify right side
    401.72x = 177,104.62
  5. Step 5: Solve for x
    x = 177,104.62/401.72
  6. Step 6: Final answer
    x = 440.87

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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.