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Finding the Fourth Proportional to 29.07, 43.61 and 8.78

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Solution

The fourth proportional to 29.07, 43.61 and 8.78 is: 13.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.07 : 43.61 = 8.78 : x
  2. Step 2: Convert to fraction form
    29.07/43.61 = 8.78/x
  3. Step 3: Cross multiply
    29.07x = 43.61 × 8.78
  4. Step 4: Simplify right side
    29.07x = 382.63
  5. Step 5: Solve for x
    x = 382.63/29.07
  6. Step 6: Final answer
    x = 13.16

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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.