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Finding the Fourth Proportional to 210.54, 315.40 and 181.65

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Solution

The fourth proportional to 210.54, 315.40 and 181.65 is: 272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.54 : 315.40 = 181.65 : x
  2. Step 2: Convert to fraction form
    210.54/315.40 = 181.65/x
  3. Step 3: Cross multiply
    210.54x = 315.40 × 181.65
  4. Step 4: Simplify right side
    210.54x = 57,292.41
  5. Step 5: Solve for x
    x = 57,292.41/210.54
  6. Step 6: Final answer
    x = 272.12

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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.