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Finding the Fourth Proportional to 75.64, 104.38 and 46.12

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Solution

The fourth proportional to 75.64, 104.38 and 46.12 is: 63.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 104.38 = 46.12 : x
  2. Step 2: Convert to fraction form
    75.64/104.38 = 46.12/x
  3. Step 3: Cross multiply
    75.64x = 104.38 × 46.12
  4. Step 4: Simplify right side
    75.64x = 4,814.01
  5. Step 5: Solve for x
    x = 4,814.01/75.64
  6. Step 6: Final answer
    x = 63.64

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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.