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Finding the Fourth Proportional to 104.91, 157.22 and 77.64

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Solution

The fourth proportional to 104.91, 157.22 and 77.64 is: 116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.91 : 157.22 = 77.64 : x
  2. Step 2: Convert to fraction form
    104.91/157.22 = 77.64/x
  3. Step 3: Cross multiply
    104.91x = 157.22 × 77.64
  4. Step 4: Simplify right side
    104.91x = 12,206.31
  5. Step 5: Solve for x
    x = 12,206.31/104.91
  6. Step 6: Final answer
    x = 116.35

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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.