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Finding the Fourth Proportional to 401.06, 600.92 and 215.84

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Solution

The fourth proportional to 401.06, 600.92 and 215.84 is: 323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.06 : 600.92 = 215.84 : x
  2. Step 2: Convert to fraction form
    401.06/600.92 = 215.84/x
  3. Step 3: Cross multiply
    401.06x = 600.92 × 215.84
  4. Step 4: Simplify right side
    401.06x = 129,702.57
  5. Step 5: Solve for x
    x = 129,702.57/401.06
  6. Step 6: Final answer
    x = 323.40

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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.