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Finding the Fourth Proportional to 154.69, 212.99 and 117.73

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Solution

The fourth proportional to 154.69, 212.99 and 117.73 is: 162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.69 : 212.99 = 117.73 : x
  2. Step 2: Convert to fraction form
    154.69/212.99 = 117.73/x
  3. Step 3: Cross multiply
    154.69x = 212.99 × 117.73
  4. Step 4: Simplify right side
    154.69x = 25,074.72
  5. Step 5: Solve for x
    x = 25,074.72/154.69
  6. Step 6: Final answer
    x = 162.10

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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.