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Finding the Fourth Proportional to 253.23, 348.82 and 211.77

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Solution

The fourth proportional to 253.23, 348.82 and 211.77 is: 291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.23 : 348.82 = 211.77 : x
  2. Step 2: Convert to fraction form
    253.23/348.82 = 211.77/x
  3. Step 3: Cross multiply
    253.23x = 348.82 × 211.77
  4. Step 4: Simplify right side
    253.23x = 73,869.61
  5. Step 5: Solve for x
    x = 73,869.61/253.23
  6. Step 6: Final answer
    x = 291.71

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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.