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Finding the Fourth Proportional to 231.47, 347.29 and 103.13

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Solution

The fourth proportional to 231.47, 347.29 and 103.13 is: 154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.47 : 347.29 = 103.13 : x
  2. Step 2: Convert to fraction form
    231.47/347.29 = 103.13/x
  3. Step 3: Cross multiply
    231.47x = 347.29 × 103.13
  4. Step 4: Simplify right side
    231.47x = 35,814.02
  5. Step 5: Solve for x
    x = 35,814.02/231.47
  6. Step 6: Final answer
    x = 154.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.