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Finding the Fourth Proportional to 17.35, 26.00 and 8.78

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Solution

The fourth proportional to 17.35, 26.00 and 8.78 is: 13.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.35 : 26.00 = 8.78 : x
  2. Step 2: Convert to fraction form
    17.35/26.00 = 8.78/x
  3. Step 3: Cross multiply
    17.35x = 26.00 × 8.78
  4. Step 4: Simplify right side
    17.35x = 228.19
  5. Step 5: Solve for x
    x = 228.19/17.35
  6. Step 6: Final answer
    x = 13.15

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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.