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Finding the Fourth Proportional to 3.70, 5.12 and 3.46

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Solution

The fourth proportional to 3.70, 5.12 and 3.46 is: 4.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.70 : 5.12 = 3.46 : x
  2. Step 2: Convert to fraction form
    3.70/5.12 = 3.46/x
  3. Step 3: Cross multiply
    3.70x = 5.12 × 3.46
  4. Step 4: Simplify right side
    3.70x = 17.67
  5. Step 5: Solve for x
    x = 17.67/3.70
  6. Step 6: Final answer
    x = 4.78

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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.