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Finding the Fourth Proportional to 14.88, 20.40 and 14.85

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Solution

The fourth proportional to 14.88, 20.40 and 14.85 is: 20.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.88 : 20.40 = 14.85 : x
  2. Step 2: Convert to fraction form
    14.88/20.40 = 14.85/x
  3. Step 3: Cross multiply
    14.88x = 20.40 × 14.85
  4. Step 4: Simplify right side
    14.88x = 302.94
  5. Step 5: Solve for x
    x = 302.94/14.88
  6. Step 6: Final answer
    x = 20.36

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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.