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Finding the Fourth Proportional to 253.27, 349.51 and 136.83

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Solution

The fourth proportional to 253.27, 349.51 and 136.83 is: 188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.27 : 349.51 = 136.83 : x
  2. Step 2: Convert to fraction form
    253.27/349.51 = 136.83/x
  3. Step 3: Cross multiply
    253.27x = 349.51 × 136.83
  4. Step 4: Simplify right side
    253.27x = 47,822.33
  5. Step 5: Solve for x
    x = 47,822.33/253.27
  6. Step 6: Final answer
    x = 188.82

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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.