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Finding the Fourth Proportional to 219.88, 303.22 and 158.01

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Solution

The fourth proportional to 219.88, 303.22 and 158.01 is: 217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.88 : 303.22 = 158.01 : x
  2. Step 2: Convert to fraction form
    219.88/303.22 = 158.01/x
  3. Step 3: Cross multiply
    219.88x = 303.22 × 158.01
  4. Step 4: Simplify right side
    219.88x = 47,911.40
  5. Step 5: Solve for x
    x = 47,911.40/219.88
  6. Step 6: Final answer
    x = 217.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.