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Finding the Fourth Proportional to 152.44, 209.91 and 108.70

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Solution

The fourth proportional to 152.44, 209.91 and 108.70 is: 149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.44 : 209.91 = 108.70 : x
  2. Step 2: Convert to fraction form
    152.44/209.91 = 108.70/x
  3. Step 3: Cross multiply
    152.44x = 209.91 × 108.70
  4. Step 4: Simplify right side
    152.44x = 22,817.22
  5. Step 5: Solve for x
    x = 22,817.22/152.44
  6. Step 6: Final answer
    x = 149.68

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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.