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Finding the Fourth Proportional to 401.52, 601.44 and 319.92

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Solution

The fourth proportional to 401.52, 601.44 and 319.92 is: 479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.52 : 601.44 = 319.92 : x
  2. Step 2: Convert to fraction form
    401.52/601.44 = 319.92/x
  3. Step 3: Cross multiply
    401.52x = 601.44 × 319.92
  4. Step 4: Simplify right side
    401.52x = 192,412.68
  5. Step 5: Solve for x
    x = 192,412.68/401.52
  6. Step 6: Final answer
    x = 479.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.