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Finding the Fourth Proportional to 30.82, 42.51 and 18.53

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Solution

The fourth proportional to 30.82, 42.51 and 18.53 is: 25.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.82 : 42.51 = 18.53 : x
  2. Step 2: Convert to fraction form
    30.82/42.51 = 18.53/x
  3. Step 3: Cross multiply
    30.82x = 42.51 × 18.53
  4. Step 4: Simplify right side
    30.82x = 787.71
  5. Step 5: Solve for x
    x = 787.71/30.82
  6. Step 6: Final answer
    x = 25.56

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