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Finding the Fourth Proportional to 438, 656.97 and 113.38

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Solution

The fourth proportional to 438, 656.97 and 113.38 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438 : 656.97 = 113.38 : x
  2. Step 2: Convert to fraction form
    438/656.97 = 113.38/x
  3. Step 3: Cross multiply
    438x = 656.97 × 113.38
  4. Step 4: Simplify right side
    438x = 74,487.26
  5. Step 5: Solve for x
    x = 74,487.26/438
  6. Step 6: Final answer
    x = 170.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.