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Finding the Fourth Proportional to 25.70, 35.65 and 24.48

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Solution

The fourth proportional to 25.70, 35.65 and 24.48 is: 33.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.70 : 35.65 = 24.48 : x
  2. Step 2: Convert to fraction form
    25.70/35.65 = 24.48/x
  3. Step 3: Cross multiply
    25.70x = 35.65 × 24.48
  4. Step 4: Simplify right side
    25.70x = 872.71
  5. Step 5: Solve for x
    x = 872.71/25.70
  6. Step 6: Final answer
    x = 33.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.