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Finding the Fourth Proportional to 436.68, 655.28 and 180.18

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Solution

The fourth proportional to 436.68, 655.28 and 180.18 is: 270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.68 : 655.28 = 180.18 : x
  2. Step 2: Convert to fraction form
    436.68/655.28 = 180.18/x
  3. Step 3: Cross multiply
    436.68x = 655.28 × 180.18
  4. Step 4: Simplify right side
    436.68x = 118,068.35
  5. Step 5: Solve for x
    x = 118,068.35/436.68
  6. Step 6: Final answer
    x = 270.38

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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.