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Finding the Fourth Proportional to 158.48, 219.55 and 154.70

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Solution

The fourth proportional to 158.48, 219.55 and 154.70 is: 214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.48 : 219.55 = 154.70 : x
  2. Step 2: Convert to fraction form
    158.48/219.55 = 154.70/x
  3. Step 3: Cross multiply
    158.48x = 219.55 × 154.70
  4. Step 4: Simplify right side
    158.48x = 33,964.39
  5. Step 5: Solve for x
    x = 33,964.39/158.48
  6. Step 6: Final answer
    x = 214.31

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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.