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Finding the Fourth Proportional to 15.80, 21.66 and 14.16

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Solution

The fourth proportional to 15.80, 21.66 and 14.16 is: 19.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.80 : 21.66 = 14.16 : x
  2. Step 2: Convert to fraction form
    15.80/21.66 = 14.16/x
  3. Step 3: Cross multiply
    15.80x = 21.66 × 14.16
  4. Step 4: Simplify right side
    15.80x = 306.71
  5. Step 5: Solve for x
    x = 306.71/15.80
  6. Step 6: Final answer
    x = 19.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.