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Finding the Fourth Proportional to 253.23, 379.84 and 116.18

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Solution

The fourth proportional to 253.23, 379.84 and 116.18 is: 174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.23 : 379.84 = 116.18 : x
  2. Step 2: Convert to fraction form
    253.23/379.84 = 116.18/x
  3. Step 3: Cross multiply
    253.23x = 379.84 × 116.18
  4. Step 4: Simplify right side
    253.23x = 44,131.40
  5. Step 5: Solve for x
    x = 44,131.40/253.23
  6. Step 6: Final answer
    x = 174.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.