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Finding the Fourth Proportional to 46.61, 69.63 and 29.34

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Solution

The fourth proportional to 46.61, 69.63 and 29.34 is: 43.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.61 : 69.63 = 29.34 : x
  2. Step 2: Convert to fraction form
    46.61/69.63 = 29.34/x
  3. Step 3: Cross multiply
    46.61x = 69.63 × 29.34
  4. Step 4: Simplify right side
    46.61x = 2,042.94
  5. Step 5: Solve for x
    x = 2,042.94/46.61
  6. Step 6: Final answer
    x = 43.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.