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Finding the Fourth Proportional to 249.48, 375.75 and 211.23

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Solution

The fourth proportional to 249.48, 375.75 and 211.23 is: 318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.48 : 375.75 = 211.23 : x
  2. Step 2: Convert to fraction form
    249.48/375.75 = 211.23/x
  3. Step 3: Cross multiply
    249.48x = 375.75 × 211.23
  4. Step 4: Simplify right side
    249.48x = 79,369.67
  5. Step 5: Solve for x
    x = 79,369.67/249.48
  6. Step 6: Final answer
    x = 318.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.