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Finding the Fourth Proportional to 272.16, 375.75 and 213.05

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Solution

The fourth proportional to 272.16, 375.75 and 213.05 is: 294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.16 : 375.75 = 213.05 : x
  2. Step 2: Convert to fraction form
    272.16/375.75 = 213.05/x
  3. Step 3: Cross multiply
    272.16x = 375.75 × 213.05
  4. Step 4: Simplify right side
    272.16x = 80,051.66
  5. Step 5: Solve for x
    x = 80,051.66/272.16
  6. Step 6: Final answer
    x = 294.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.