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Finding the Fourth Proportional to 27.19, 40.78 and 6.90

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Solution

The fourth proportional to 27.19, 40.78 and 6.90 is: 10.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.19 : 40.78 = 6.90 : x
  2. Step 2: Convert to fraction form
    27.19/40.78 = 6.90/x
  3. Step 3: Cross multiply
    27.19x = 40.78 × 6.90
  4. Step 4: Simplify right side
    27.19x = 281.28
  5. Step 5: Solve for x
    x = 281.28/27.19
  6. Step 6: Final answer
    x = 10.35

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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.