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Finding the Fourth Proportional to 10.42, 14.34 and 9.66

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Solution

The fourth proportional to 10.42, 14.34 and 9.66 is: 13.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.42 : 14.34 = 9.66 : x
  2. Step 2: Convert to fraction form
    10.42/14.34 = 9.66/x
  3. Step 3: Cross multiply
    10.42x = 14.34 × 9.66
  4. Step 4: Simplify right side
    10.42x = 138.52
  5. Step 5: Solve for x
    x = 138.52/10.42
  6. Step 6: Final answer
    x = 13.29

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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.