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Finding the Fourth Proportional to 158.49, 219.89 and 157.10

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Solution

The fourth proportional to 158.49, 219.89 and 157.10 is: 217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.49 : 219.89 = 157.10 : x
  2. Step 2: Convert to fraction form
    158.49/219.89 = 157.10/x
  3. Step 3: Cross multiply
    158.49x = 219.89 × 157.10
  4. Step 4: Simplify right side
    158.49x = 34,544.01
  5. Step 5: Solve for x
    x = 34,544.01/158.49
  6. Step 6: Final answer
    x = 217.96

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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.