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Finding the Fourth Proportional to 401.56, 601.56 and 219.04

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Solution

The fourth proportional to 401.56, 601.56 and 219.04 is: 328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.56 : 601.56 = 219.04 : x
  2. Step 2: Convert to fraction form
    401.56/601.56 = 219.04/x
  3. Step 3: Cross multiply
    401.56x = 601.56 × 219.04
  4. Step 4: Simplify right side
    401.56x = 131,764.20
  5. Step 5: Solve for x
    x = 131,764.20/401.56
  6. Step 6: Final answer
    x = 328.13

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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.