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Finding the Fourth Proportional to 253.72, 349.26 and 214.84

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Solution

The fourth proportional to 253.72, 349.26 and 214.84 is: 295.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.72 : 349.26 = 214.84 : x
  2. Step 2: Convert to fraction form
    253.72/349.26 = 214.84/x
  3. Step 3: Cross multiply
    253.72x = 349.26 × 214.84
  4. Step 4: Simplify right side
    253.72x = 75,035.02
  5. Step 5: Solve for x
    x = 75,035.02/253.72
  6. Step 6: Final answer
    x = 295.74

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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.