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Finding the Fourth Proportional to 25.65, 35.19 and 25.35

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Solution

The fourth proportional to 25.65, 35.19 and 25.35 is: 34.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.65 : 35.19 = 25.35 : x
  2. Step 2: Convert to fraction form
    25.65/35.19 = 25.35/x
  3. Step 3: Cross multiply
    25.65x = 35.19 × 25.35
  4. Step 4: Simplify right side
    25.65x = 892.07
  5. Step 5: Solve for x
    x = 892.07/25.65
  6. Step 6: Final answer
    x = 34.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.