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Finding the Fourth Proportional to 210.22, 315.02 and 118.69

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Solution

The fourth proportional to 210.22, 315.02 and 118.69 is: 177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.22 : 315.02 = 118.69 : x
  2. Step 2: Convert to fraction form
    210.22/315.02 = 118.69/x
  3. Step 3: Cross multiply
    210.22x = 315.02 × 118.69
  4. Step 4: Simplify right side
    210.22x = 37,389.23
  5. Step 5: Solve for x
    x = 37,389.23/210.22
  6. Step 6: Final answer
    x = 177.86

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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.