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Finding the Fourth Proportional to 401.35, 601.22 and 319.22

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Solution

The fourth proportional to 401.35, 601.22 and 319.22 is: 478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.35 : 601.22 = 319.22 : x
  2. Step 2: Convert to fraction form
    401.35/601.22 = 319.22/x
  3. Step 3: Cross multiply
    401.35x = 601.22 × 319.22
  4. Step 4: Simplify right side
    401.35x = 191,921.45
  5. Step 5: Solve for x
    x = 191,921.45/401.35
  6. Step 6: Final answer
    x = 478.19

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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.