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Finding the Fourth Proportional to 27.19, 40.78 and 7.93

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Solution

The fourth proportional to 27.19, 40.78 and 7.93 is: 11.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.19 : 40.78 = 7.93 : x
  2. Step 2: Convert to fraction form
    27.19/40.78 = 7.93/x
  3. Step 3: Cross multiply
    27.19x = 40.78 × 7.93
  4. Step 4: Simplify right side
    27.19x = 323.26
  5. Step 5: Solve for x
    x = 323.26/27.19
  6. Step 6: Final answer
    x = 11.89

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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.