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Finding the Fourth Proportional to 10.31, 14.31 and 10.13

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Solution

The fourth proportional to 10.31, 14.31 and 10.13 is: 14.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.31 : 14.31 = 10.13 : x
  2. Step 2: Convert to fraction form
    10.31/14.31 = 10.13/x
  3. Step 3: Cross multiply
    10.31x = 14.31 × 10.13
  4. Step 4: Simplify right side
    10.31x = 144.89
  5. Step 5: Solve for x
    x = 144.89/10.31
  6. Step 6: Final answer
    x = 14.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.