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Finding the Fourth Proportional to 401.74, 601.33 and 216.18

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Solution

The fourth proportional to 401.74, 601.33 and 216.18 is: 323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.74 : 601.33 = 216.18 : x
  2. Step 2: Convert to fraction form
    401.74/601.33 = 216.18/x
  3. Step 3: Cross multiply
    401.74x = 601.33 × 216.18
  4. Step 4: Simplify right side
    401.74x = 129,994.44
  5. Step 5: Solve for x
    x = 129,994.44/401.74
  6. Step 6: Final answer
    x = 323.58

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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.