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Finding the Fourth Proportional to 104.92, 157.32 and 40.78

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Solution

The fourth proportional to 104.92, 157.32 and 40.78 is: 61.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.92 : 157.32 = 40.78 : x
  2. Step 2: Convert to fraction form
    104.92/157.32 = 40.78/x
  3. Step 3: Cross multiply
    104.92x = 157.32 × 40.78
  4. Step 4: Simplify right side
    104.92x = 6,415.51
  5. Step 5: Solve for x
    x = 6,415.51/104.92
  6. Step 6: Final answer
    x = 61.15

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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.