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Finding the Fourth Proportional to 46.12, 63.64 and 30.61

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Solution

The fourth proportional to 46.12, 63.64 and 30.61 is: 42.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.12 : 63.64 = 30.61 : x
  2. Step 2: Convert to fraction form
    46.12/63.64 = 30.61/x
  3. Step 3: Cross multiply
    46.12x = 63.64 × 30.61
  4. Step 4: Simplify right side
    46.12x = 1,948.02
  5. Step 5: Solve for x
    x = 1,948.02/46.12
  6. Step 6: Final answer
    x = 42.24

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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.