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Finding the Fourth Proportional to 231.45, 319.45 and 147.37

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Solution

The fourth proportional to 231.45, 319.45 and 147.37 is: 203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.45 : 319.45 = 147.37 : x
  2. Step 2: Convert to fraction form
    231.45/319.45 = 147.37/x
  3. Step 3: Cross multiply
    231.45x = 319.45 × 147.37
  4. Step 4: Simplify right side
    231.45x = 47,077.38
  5. Step 5: Solve for x
    x = 47,077.38/231.45
  6. Step 6: Final answer
    x = 203.40

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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.