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Finding the Fourth Proportional to 158.72, 219.21 and 137.89

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Solution

The fourth proportional to 158.72, 219.21 and 137.89 is: 190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.72 : 219.21 = 137.89 : x
  2. Step 2: Convert to fraction form
    158.72/219.21 = 137.89/x
  3. Step 3: Cross multiply
    158.72x = 219.21 × 137.89
  4. Step 4: Simplify right side
    158.72x = 30,225.77
  5. Step 5: Solve for x
    x = 30,225.77/158.72
  6. Step 6: Final answer
    x = 190.43

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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.