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Finding the Fourth Proportional to 10.10, 15.06 and 9.65

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Solution

The fourth proportional to 10.10, 15.06 and 9.65 is: 14.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.10 : 15.06 = 9.65 : x
  2. Step 2: Convert to fraction form
    10.10/15.06 = 9.65/x
  3. Step 3: Cross multiply
    10.10x = 15.06 × 9.65
  4. Step 4: Simplify right side
    10.10x = 145.33
  5. Step 5: Solve for x
    x = 145.33/10.10
  6. Step 6: Final answer
    x = 14.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.