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Finding the Fourth Proportional to 438, 656.96 and 113.35

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Solution

The fourth proportional to 438, 656.96 and 113.35 is: 170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    438 : 656.96 = 113.35 : x
  2. Step 2: Convert to fraction form
    438/656.96 = 113.35/x
  3. Step 3: Cross multiply
    438x = 656.96 × 113.35
  4. Step 4: Simplify right side
    438x = 74,466.42
  5. Step 5: Solve for x
    x = 74,466.42/438
  6. Step 6: Final answer
    x = 170.01

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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.