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Finding the Fourth Proportional to 30.09, 41.53 and 17.16

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Solution

The fourth proportional to 30.09, 41.53 and 17.16 is: 23.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.09 : 41.53 = 17.16 : x
  2. Step 2: Convert to fraction form
    30.09/41.53 = 17.16/x
  3. Step 3: Cross multiply
    30.09x = 41.53 × 17.16
  4. Step 4: Simplify right side
    30.09x = 712.49
  5. Step 5: Solve for x
    x = 712.49/30.09
  6. Step 6: Final answer
    x = 23.68

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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.