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Finding the Fourth Proportional to 158.20, 219.85 and 156.27

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Solution

The fourth proportional to 158.20, 219.85 and 156.27 is: 217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.20 : 219.85 = 156.27 : x
  2. Step 2: Convert to fraction form
    158.20/219.85 = 156.27/x
  3. Step 3: Cross multiply
    158.20x = 219.85 × 156.27
  4. Step 4: Simplify right side
    158.20x = 34,355.18
  5. Step 5: Solve for x
    x = 34,355.18/158.20
  6. Step 6: Final answer
    x = 217.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.