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Finding the Fourth Proportional to 10.69, 15.93 and 10

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Solution

The fourth proportional to 10.69, 15.93 and 10 is: 14.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.69 : 15.93 = 10 : x
  2. Step 2: Convert to fraction form
    10.69/15.93 = 10/x
  3. Step 3: Cross multiply
    10.69x = 15.93 × 10
  4. Step 4: Simplify right side
    10.69x = 159.30
  5. Step 5: Solve for x
    x = 159.30/10.69
  6. Step 6: Final answer
    x = 14.90

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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.