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Finding the Fourth Proportional to 272.51, 375.66 and 206.90

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Solution

The fourth proportional to 272.51, 375.66 and 206.90 is: 285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.51 : 375.66 = 206.90 : x
  2. Step 2: Convert to fraction form
    272.51/375.66 = 206.90/x
  3. Step 3: Cross multiply
    272.51x = 375.66 × 206.90
  4. Step 4: Simplify right side
    272.51x = 77,722.18
  5. Step 5: Solve for x
    x = 77,722.18/272.51
  6. Step 6: Final answer
    x = 285.21

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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.