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Finding the Fourth Proportional to 10.78, 14.78 and 10.64

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Solution

The fourth proportional to 10.78, 14.78 and 10.64 is: 14.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.78 : 14.78 = 10.64 : x
  2. Step 2: Convert to fraction form
    10.78/14.78 = 10.64/x
  3. Step 3: Cross multiply
    10.78x = 14.78 × 10.64
  4. Step 4: Simplify right side
    10.78x = 157.26
  5. Step 5: Solve for x
    x = 157.26/10.78
  6. Step 6: Final answer
    x = 14.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.