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Finding the Fourth Proportional to 437.10, 655.08 and 193.32

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Solution

The fourth proportional to 437.10, 655.08 and 193.32 is: 289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.10 : 655.08 = 193.32 : x
  2. Step 2: Convert to fraction form
    437.10/655.08 = 193.32/x
  3. Step 3: Cross multiply
    437.10x = 655.08 × 193.32
  4. Step 4: Simplify right side
    437.10x = 126,640.07
  5. Step 5: Solve for x
    x = 126,640.07/437.10
  6. Step 6: Final answer
    x = 289.73

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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.