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Finding the Fourth Proportional to 155.71, 231.53 and 149.23

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Solution

The fourth proportional to 155.71, 231.53 and 149.23 is: 221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.71 : 231.53 = 149.23 : x
  2. Step 2: Convert to fraction form
    155.71/231.53 = 149.23/x
  3. Step 3: Cross multiply
    155.71x = 231.53 × 149.23
  4. Step 4: Simplify right side
    155.71x = 34,551.22
  5. Step 5: Solve for x
    x = 34,551.22/155.71
  6. Step 6: Final answer
    x = 221.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.