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Finding the Fourth Proportional to 442, 662.94 and 117.34

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Solution

The fourth proportional to 442, 662.94 and 117.34 is: 175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    442 : 662.94 = 117.34 : x
  2. Step 2: Convert to fraction form
    442/662.94 = 117.34/x
  3. Step 3: Cross multiply
    442x = 662.94 × 117.34
  4. Step 4: Simplify right side
    442x = 77,789.38
  5. Step 5: Solve for x
    x = 77,789.38/442
  6. Step 6: Final answer
    x = 175.99

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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.