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Finding the Fourth Proportional to 436.80, 655.17 and 148.23

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Solution

The fourth proportional to 436.80, 655.17 and 148.23 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.80 : 655.17 = 148.23 : x
  2. Step 2: Convert to fraction form
    436.80/655.17 = 148.23/x
  3. Step 3: Cross multiply
    436.80x = 655.17 × 148.23
  4. Step 4: Simplify right side
    436.80x = 97,115.85
  5. Step 5: Solve for x
    x = 97,115.85/436.80
  6. Step 6: Final answer
    x = 222.33

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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.