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Finding the Fourth Proportional to 210.49, 315.80 and 107.80

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Solution

The fourth proportional to 210.49, 315.80 and 107.80 is: 161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.49 : 315.80 = 107.80 : x
  2. Step 2: Convert to fraction form
    210.49/315.80 = 107.80/x
  3. Step 3: Cross multiply
    210.49x = 315.80 × 107.80
  4. Step 4: Simplify right side
    210.49x = 34,043.24
  5. Step 5: Solve for x
    x = 34,043.24/210.49
  6. Step 6: Final answer
    x = 161.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.