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Finding the Fourth Proportional to 253.05, 379.49 and 70.40

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Solution

The fourth proportional to 253.05, 379.49 and 70.40 is: 105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.05 : 379.49 = 70.40 : x
  2. Step 2: Convert to fraction form
    253.05/379.49 = 70.40/x
  3. Step 3: Cross multiply
    253.05x = 379.49 × 70.40
  4. Step 4: Simplify right side
    253.05x = 26,713.85
  5. Step 5: Solve for x
    x = 26,713.85/253.05
  6. Step 6: Final answer
    x = 105.57

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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.