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Finding the Fourth Proportional to 16.16, 24.23 and 9.40

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Solution

The fourth proportional to 16.16, 24.23 and 9.40 is: 14.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.16 : 24.23 = 9.40 : x
  2. Step 2: Convert to fraction form
    16.16/24.23 = 9.40/x
  3. Step 3: Cross multiply
    16.16x = 24.23 × 9.40
  4. Step 4: Simplify right side
    16.16x = 227.76
  5. Step 5: Solve for x
    x = 227.76/16.16
  6. Step 6: Final answer
    x = 14.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.