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Finding the Fourth Proportional to 30.92, 45.77 and 30.78

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Solution

The fourth proportional to 30.92, 45.77 and 30.78 is: 45.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.92 : 45.77 = 30.78 : x
  2. Step 2: Convert to fraction form
    30.92/45.77 = 30.78/x
  3. Step 3: Cross multiply
    30.92x = 45.77 × 30.78
  4. Step 4: Simplify right side
    30.92x = 1,408.65
  5. Step 5: Solve for x
    x = 1,408.65/30.92
  6. Step 6: Final answer
    x = 45.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.