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Finding the Fourth Proportional to 437.08, 655.68 and 144.60

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Solution

The fourth proportional to 437.08, 655.68 and 144.60 is: 216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.08 : 655.68 = 144.60 : x
  2. Step 2: Convert to fraction form
    437.08/655.68 = 144.60/x
  3. Step 3: Cross multiply
    437.08x = 655.68 × 144.60
  4. Step 4: Simplify right side
    437.08x = 94,811.33
  5. Step 5: Solve for x
    x = 94,811.33/437.08
  6. Step 6: Final answer
    x = 216.92

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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.