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Finding the Fourth Proportional to 438.21, 657.01 and 194.60

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Solution

The fourth proportional to 438.21, 657.01 and 194.60 is: 291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.21 : 657.01 = 194.60 : x
  2. Step 2: Convert to fraction form
    438.21/657.01 = 194.60/x
  3. Step 3: Cross multiply
    438.21x = 657.01 × 194.60
  4. Step 4: Simplify right side
    438.21x = 127,856.03
  5. Step 5: Solve for x
    x = 127,856.03/438.21
  6. Step 6: Final answer
    x = 291.77

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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.