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Finding the Fourth Proportional to 438.20, 656.88 and 194.66

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Solution

The fourth proportional to 438.20, 656.88 and 194.66 is: 291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.20 : 656.88 = 194.66 : x
  2. Step 2: Convert to fraction form
    438.20/656.88 = 194.66/x
  3. Step 3: Cross multiply
    438.20x = 656.88 × 194.66
  4. Step 4: Simplify right side
    438.20x = 127,868.26
  5. Step 5: Solve for x
    x = 127,868.26/438.20
  6. Step 6: Final answer
    x = 291.80

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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.