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Finding the Fourth Proportional to 158.14, 219.16 and 155.94

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Solution

The fourth proportional to 158.14, 219.16 and 155.94 is: 216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.14 : 219.16 = 155.94 : x
  2. Step 2: Convert to fraction form
    158.14/219.16 = 155.94/x
  3. Step 3: Cross multiply
    158.14x = 219.16 × 155.94
  4. Step 4: Simplify right side
    158.14x = 34,175.05
  5. Step 5: Solve for x
    x = 34,175.05/158.14
  6. Step 6: Final answer
    x = 216.11

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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.