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Finding the Fourth Proportional to 437.37, 655.80 and 190.50

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Solution

The fourth proportional to 437.37, 655.80 and 190.50 is: 285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.37 : 655.80 = 190.50 : x
  2. Step 2: Convert to fraction form
    437.37/655.80 = 190.50/x
  3. Step 3: Cross multiply
    437.37x = 655.80 × 190.50
  4. Step 4: Simplify right side
    437.37x = 124,930.42
  5. Step 5: Solve for x
    x = 124,930.42/437.37
  6. Step 6: Final answer
    x = 285.64

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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.