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Finding the Fourth Proportional to 153.65, 231.01 and 123.43

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Solution

The fourth proportional to 153.65, 231.01 and 123.43 is: 185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.65 : 231.01 = 123.43 : x
  2. Step 2: Convert to fraction form
    153.65/231.01 = 123.43/x
  3. Step 3: Cross multiply
    153.65x = 231.01 × 123.43
  4. Step 4: Simplify right side
    153.65x = 28,512.46
  5. Step 5: Solve for x
    x = 28,512.46/153.65
  6. Step 6: Final answer
    x = 185.57

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