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Finding the Fourth Proportional to 27.77, 41.65 and 7.48

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Solution

The fourth proportional to 27.77, 41.65 and 7.48 is: 11.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.77 : 41.65 = 7.48 : x
  2. Step 2: Convert to fraction form
    27.77/41.65 = 7.48/x
  3. Step 3: Cross multiply
    27.77x = 41.65 × 7.48
  4. Step 4: Simplify right side
    27.77x = 311.47
  5. Step 5: Solve for x
    x = 311.47/27.77
  6. Step 6: Final answer
    x = 11.22

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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.