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Finding the Fourth Proportional to 10.16, 13.97 and 8.40

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Solution

The fourth proportional to 10.16, 13.97 and 8.40 is: 11.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.16 : 13.97 = 8.40 : x
  2. Step 2: Convert to fraction form
    10.16/13.97 = 8.40/x
  3. Step 3: Cross multiply
    10.16x = 13.97 × 8.40
  4. Step 4: Simplify right side
    10.16x = 117.37
  5. Step 5: Solve for x
    x = 117.37/10.16
  6. Step 6: Final answer
    x = 11.56

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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.