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Finding the Fourth Proportional to 14.99, 20.69 and 10.40

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Solution

The fourth proportional to 14.99, 20.69 and 10.40 is: 14.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.99 : 20.69 = 10.40 : x
  2. Step 2: Convert to fraction form
    14.99/20.69 = 10.40/x
  3. Step 3: Cross multiply
    14.99x = 20.69 × 10.40
  4. Step 4: Simplify right side
    14.99x = 215.02
  5. Step 5: Solve for x
    x = 215.02/14.99
  6. Step 6: Final answer
    x = 14.35

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Why These Related Problems?

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