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Finding the Fourth Proportional to 438.21, 656.75 and 177.91

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Solution

The fourth proportional to 438.21, 656.75 and 177.91 is: 266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.21 : 656.75 = 177.91 : x
  2. Step 2: Convert to fraction form
    438.21/656.75 = 177.91/x
  3. Step 3: Cross multiply
    438.21x = 656.75 × 177.91
  4. Step 4: Simplify right side
    438.21x = 116,842.39
  5. Step 5: Solve for x
    x = 116,842.39/438.21
  6. Step 6: Final answer
    x = 266.63

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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.