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Finding the Fourth Proportional to 30.76, 42.42 and 25.87

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Solution

The fourth proportional to 30.76, 42.42 and 25.87 is: 35.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.76 : 42.42 = 25.87 : x
  2. Step 2: Convert to fraction form
    30.76/42.42 = 25.87/x
  3. Step 3: Cross multiply
    30.76x = 42.42 × 25.87
  4. Step 4: Simplify right side
    30.76x = 1,097.30
  5. Step 5: Solve for x
    x = 1,097.30/30.76
  6. Step 6: Final answer
    x = 35.68

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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.