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Finding the Fourth Proportional to 213.71, 320.39 and 181.25

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Solution

The fourth proportional to 213.71, 320.39 and 181.25 is: 271.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.71 : 320.39 = 181.25 : x
  2. Step 2: Convert to fraction form
    213.71/320.39 = 181.25/x
  3. Step 3: Cross multiply
    213.71x = 320.39 × 181.25
  4. Step 4: Simplify right side
    213.71x = 58,068.18
  5. Step 5: Solve for x
    x = 58,068.18/213.71
  6. Step 6: Final answer
    x = 271.72

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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.