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Finding the Fourth Proportional to 21.43, 29.56 and 14.16

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Solution

The fourth proportional to 21.43, 29.56 and 14.16 is: 19.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.43 : 29.56 = 14.16 : x
  2. Step 2: Convert to fraction form
    21.43/29.56 = 14.16/x
  3. Step 3: Cross multiply
    21.43x = 29.56 × 14.16
  4. Step 4: Simplify right side
    21.43x = 418.57
  5. Step 5: Solve for x
    x = 418.57/21.43
  6. Step 6: Final answer
    x = 19.53

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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.