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Finding the Fourth Proportional to 231.81, 347.79 and 145.70

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Solution

The fourth proportional to 231.81, 347.79 and 145.70 is: 218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.81 : 347.79 = 145.70 : x
  2. Step 2: Convert to fraction form
    231.81/347.79 = 145.70/x
  3. Step 3: Cross multiply
    231.81x = 347.79 × 145.70
  4. Step 4: Simplify right side
    231.81x = 50,673.11
  5. Step 5: Solve for x
    x = 50,673.11/231.81
  6. Step 6: Final answer
    x = 218.60

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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.