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Finding the Fourth Proportional to 253.40, 349.67 and 141.37

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Solution

The fourth proportional to 253.40, 349.67 and 141.37 is: 195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.40 : 349.67 = 141.37 : x
  2. Step 2: Convert to fraction form
    253.40/349.67 = 141.37/x
  3. Step 3: Cross multiply
    253.40x = 349.67 × 141.37
  4. Step 4: Simplify right side
    253.40x = 49,432.85
  5. Step 5: Solve for x
    x = 49,432.85/253.40
  6. Step 6: Final answer
    x = 195.08

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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.