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Finding the Fourth Proportional to 25.51, 35.20 and 22.91

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Solution

The fourth proportional to 25.51, 35.20 and 22.91 is: 31.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.51 : 35.20 = 22.91 : x
  2. Step 2: Convert to fraction form
    25.51/35.20 = 22.91/x
  3. Step 3: Cross multiply
    25.51x = 35.20 × 22.91
  4. Step 4: Simplify right side
    25.51x = 806.55
  5. Step 5: Solve for x
    x = 806.55/25.51
  6. Step 6: Final answer
    x = 31.62

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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.