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Finding the Fourth Proportional to 210.82, 315.82 and 99.49

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Solution

The fourth proportional to 210.82, 315.82 and 99.49 is: 149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.82 : 315.82 = 99.49 : x
  2. Step 2: Convert to fraction form
    210.82/315.82 = 99.49/x
  3. Step 3: Cross multiply
    210.82x = 315.82 × 99.49
  4. Step 4: Simplify right side
    210.82x = 31,418.86
  5. Step 5: Solve for x
    x = 31,418.86/210.82
  6. Step 6: Final answer
    x = 149.03

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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.