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Finding the Fourth Proportional to 35.01, 48.37 and 22.78

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Solution

The fourth proportional to 35.01, 48.37 and 22.78 is: 31.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.01 : 48.37 = 22.78 : x
  2. Step 2: Convert to fraction form
    35.01/48.37 = 22.78/x
  3. Step 3: Cross multiply
    35.01x = 48.37 × 22.78
  4. Step 4: Simplify right side
    35.01x = 1,101.98
  5. Step 5: Solve for x
    x = 1,101.98/35.01
  6. Step 6: Final answer
    x = 31.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.